40438091232 has 432 divisors, whose sum is σ = 146553995952. Its totient is φ = 10458685440.

The previous prime is 40438091227. The next prime is 40438091249. The reversal of 40438091232 is 23219083404.

40438091232 is a `hidden beast` number, since 40 + 4 + 380 + 9 + 1 + 232 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52312798 + ... + 52313570.

It is an arithmetic number, because the mean of its divisors is an integer number (339245361).

Almost surely, 2^40438091232 is an apocalyptic number.

40438091232 is a gapful number since it is divisible by the number (42) 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 40438091232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73276997976).

40438091232 is an abundant number, since it is smaller than the sum of its proper divisors (106115904720).

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

40438091232 is a wasteful number, since it uses less digits than its factorization.

40438091232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 40438091232 in words is "forty billion, four hundred thirty-eight million, ninety-one thousand, two hundred thirty-two".