40434831360 has 1404 divisors, whose sum is σ = 184052458044. Its totient is φ = 8174960640.

The previous prime is 40434831331. The next prime is 40434831379. The reversal of 40434831360 is 6313843404.

It is a happy number.

40434831360 is a `hidden beast` number, since 4 + 0 + 43 + 483 + 136 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26446565376 + 13988265984 = 162624^2 + 118272^2 .

It is a super-2 number, since 2×40434831360² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1092833262 + ... + 1092833298.

Almost surely, 2^40434831360 is an apocalyptic number.

40434831360 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 40434831360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92026229022).

40434831360 is an abundant number, since it is smaller than the sum of its proper divisors (143617626684).

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

40434831360 is a wasteful number, since it uses less digits than its factorization.

40434831360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 40434831360 in words is "forty billion, four hundred thirty-four million, eight hundred thirty-one thousand, three hundred sixty".