40132456929792 has 1280 divisors, whose sum is σ = 134332705013760. Its totient is φ = 11916942704640.

The previous prime is 40132456929743. The next prime is 40132456929797. The reversal of 40132456929792 is 29792965423104.

40132456929792 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 2 + 456 + 9 + 2 + 97 + 92 = 666.

It is a super-2 number, since 2×40132456929792² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40132456929797) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27734938413 + ... + 27734939859.

It is an arithmetic number, because the mean of its divisors is an integer number (104947425792).

Almost surely, 2^{40132456929792} 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 40132456929792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67166352506880).

40132456929792 is an abundant number, since it is smaller than the sum of its proper divisors (94200248083968).

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

40132456929792 is an equidigital number, since it uses as much as digits as its factorization.

40132456929792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 40132456929792 in words is "forty trillion, one hundred thirty-two billion, four hundred fifty-six million, nine hundred twenty-nine thousand, seven hundred ninety-two".