40732007345352 has 48 divisors (see below), whose sum is σ = 111712256448000. Its totient is φ = 13405470770016.

The previous prime is 40732007345303. The next prime is 40732007345401. The reversal of 40732007345352 is 25354370023704.

40732007345352 is a `hidden beast` number, since 4 + 0 + 73 + 200 + 7 + 345 + 35 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (40732007345303) and next prime (40732007345401).

It is a junction number, because it is equal to n+sod(n) for n = 40732007345298 and 40732007345307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3580515352 + ... + 3580526727.

It is an arithmetic number, because the mean of its divisors is an integer number (2327338676000).

Almost surely, 2^{40732007345352} is an apocalyptic number.

It is an amenable number.

40732007345352 is an abundant number, since it is smaller than the sum of its proper divisors (70980249102648).

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

40732007345352 is a wasteful number, since it uses less digits than its factorization.

40732007345352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7161042170 (or 7161042163 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 45.

The spelling of 40732007345352 in words is "forty trillion, seven hundred thirty-two billion, seven million, three hundred forty-five thousand, three hundred fifty-two".