40532507232 has 192 divisors, whose sum is σ = 123984483840. Its totient is φ = 11354443776.

The previous prime is 40532507219. The next prime is 40532507303. The reversal of 40532507232 is 23270523504.

It is a super-3 number, since 3×40532507232³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40532507193 and 40532507202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18118018 + ... + 18120254.

It is an arithmetic number, because the mean of its divisors is an integer number (645752520).

Almost surely, 2^40532507232 is an apocalyptic number.

40532507232 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 40532507232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61992241920).

40532507232 is an abundant number, since it is smaller than the sum of its proper divisors (83451976608).

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

40532507232 is a wasteful number, since it uses less digits than its factorization.

40532507232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 33.

The spelling of 40532507232 in words is "forty billion, five hundred thirty-two million, five hundred seven thousand, two hundred thirty-two".