40431801600 has 324 divisors, whose sum is σ = 145341745276. Its totient is φ = 10723000320.

The previous prime is 40431801587. The next prime is 40431801629. The reversal of 40431801600 is 610813404.

40431801600 is a `hidden beast` number, since 4 + 0 + 43 + 18 + 0 + 1 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 12433142016 + 27998659584 = 111504^2 + 167328^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11114982 + ... + 11118618.

Almost surely, 2^40431801600 is an apocalyptic number.

40431801600 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 40431801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72670872638).

40431801600 is an abundant number, since it is smaller than the sum of its proper divisors (104909943676).

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

40431801600 is a wasteful number, since it uses less digits than its factorization.

40431801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3862 (or 3840 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 40431801600 in words is "forty billion, four hundred thirty-one million, eight hundred one thousand, six hundred".