40132033516232 has 288 divisors, whose sum is σ = 99156989234520. Its totient is φ = 15125581578240.

The previous prime is 40132033516219. The next prime is 40132033516259. The reversal of 40132033516232 is 23261533023104.

It can be written as a sum of positive squares in 4 ways, for example, as 39981416563396 + 150616952836 = 6323086^2 + 388094^2 .

It is a super-2 number, since 2×40132033516232² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40132033516192 and 40132033516201.

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, 175502132 + ... + 175730652.

Almost surely, 2^{40132033516232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40132033516232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49578494617260).

40132033516232 is an abundant number, since it is smaller than the sum of its proper divisors (59024955718288).

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

40132033516232 is a wasteful number, since it uses less digits than its factorization.

40132033516232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228669 (or 228639 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 35.

Adding to 40132033516232 its reverse (23261533023104), we get a palindrome (63393566539336).

The spelling of 40132033516232 in words is "forty trillion, one hundred thirty-two billion, thirty-three million, five hundred sixteen thousand, two hundred thirty-two".