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40861393920 = 2103351947331
BaseRepresentation
bin100110000011100001…
…110110010000000000
310220110200220212211000
4212003201312100000
51132141004101140
630434345252000
72644404055224
oct460341662000
9126420825730
1040861393920
1116369212046
127b04494000
133b1267c9c9
141d98b58784
1510e2439a30
hex983876400

40861393920 has 704 divisors, whose sum is σ = 156580761600. Its totient is φ = 10072719360.

The previous prime is 40861393913. The next prime is 40861393943. The reversal of 40861393920 is 2939316804.

It is a happy number.

40861393920 is a `hidden beast` number, since 4 + 0 + 8 + 613 + 9 + 3 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123448155 + ... + 123448485.

Almost surely, 240861393920 is an apocalyptic number.

40861393920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40861393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78290380800).

40861393920 is an abundant number, since it is smaller than the sum of its proper divisors (115719367680).

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

40861393920 is a wasteful number, since it uses less digits than its factorization.

40861393920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 40861393920 in words is "forty billion, eight hundred sixty-one million, three hundred ninety-three thousand, nine hundred twenty".