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400442420040 = 233513256693859
BaseRepresentation
bin1011101001111000011…
…10100110101101001000
31102021121112001122012020
411310330032212231020
523030101224420130
6503543302444440
740634223260235
oct5647416465510
91367545048166
10400442420040
111449103410a3
1265737433720
132b9b91b2b50
141554ac4a78c
15a63a68ae10
hex5d3c3a6b48

400442420040 has 64 divisors (see below), whose sum is σ = 1293737054400. Its totient is φ = 98570441472.

The previous prime is 400442420029. The next prime is 400442420071. The reversal of 400442420040 is 40024244004.

400442420040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128345370 + ... + 128348489.

It is an arithmetic number, because the mean of its divisors is an integer number (20214641475).

Almost surely, 2400442420040 is an apocalyptic number.

400442420040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400442420040 is an abundant number, since it is smaller than the sum of its proper divisors (893294634360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400442420040 is a wasteful number, since it uses less digits than its factorization.

400442420040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256693886 (or 256693882 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 400442420040 its reverse (40024244004), we get a palindrome (440466664044).

The spelling of 400442420040 in words is "four hundred billion, four hundred forty-two million, four hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 256693859 513387718 770081577 1026775436 1283469295 1540163154 2053550872 2566938590 3080326308 3337020167 3850407885 5133877180 6160652616 6674040334 7700815770 10011060501 10267754360 13348080668 15401631540 16685100835 20022121002 26696161336 30803263080 33370201670 40044242004 50055302505 66740403340 80088484008 100110605010 133480806680 200221210020 400442420040