40232529792 has 512 divisors, whose sum is σ = 153858432000. Its totient is φ = 10050822144.

The previous prime is 40232529767. The next prime is 40232529793. The reversal of 40232529792 is 29792523204.

40232529792 is a `hidden beast` number, since 4 + 0 + 2 + 32 + 529 + 7 + 92 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40232529793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5972058 + ... + 5978790.

It is an arithmetic number, because the mean of its divisors is an integer number (300504750).

Almost surely, 2^40232529792 is an apocalyptic number.

40232529792 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 40232529792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76929216000).

40232529792 is an abundant number, since it is smaller than the sum of its proper divisors (113625902208).

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

40232529792 is a wasteful number, since it uses less digits than its factorization.

40232529792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6795 (or 6777 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 40232529792 in words is "forty billion, two hundred thirty-two million, five hundred twenty-nine thousand, seven hundred ninety-two".