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404040000040 = 235191015263679
BaseRepresentation
bin1011110000100101010…
…10010010001000101000
31102121220020112122011221
411320102222102020220
523104433220000130
6505340255231424
741122326222535
oct5702252221050
91377806478157
10404040000040
11146397057206
1266380218574
132c140626601
14157ac969d8c
15a79b42087a
hex5e12a92228

404040000040 has 64 divisors (see below), whose sum is σ = 966411648000. Its totient is φ = 151593926400.

The previous prime is 404039999989. The next prime is 404040000047. The reversal of 404040000040 is 40000040404.

It is a junction number, because it is equal to n+sod(n) for n = 404039999969 and 404040000023.

It is not an unprimeable number, because it can be changed into a prime (404040000047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2555080 + ... + 2708599.

It is an arithmetic number, because the mean of its divisors is an integer number (15100182000).

Almost surely, 2404040000040 is an apocalyptic number.

404040000040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404040000040 is an abundant number, since it is smaller than the sum of its proper divisors (562371647960).

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

404040000040 is a wasteful number, since it uses less digits than its factorization.

404040000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5263810 (or 5263806 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 404040000040 its reverse (40000040404), we get a palindrome (444040040444).

The spelling of 404040000040 in words is "four hundred four billion, forty million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 101 152 190 202 380 404 505 760 808 1010 1919 2020 3838 4040 7676 9595 15352 19190 38380 76760 5263679 10527358 21054716 26318395 42109432 52636790 100009901 105273580 200019802 210547160 400039604 500049505 531631579 800079208 1000099010 1063263158 2000198020 2126526316 2658157895 4000396040 4253052632 5316315790 10101000001 10632631580 20202000002 21265263160 40404000004 50505000005 80808000008 101010000010 202020000020 404040000040