40532313242240 has 64 divisors (see below), whose sum is σ = 96986215865160. Its totient is φ = 16198091599872.

The previous prime is 40532313242207. The next prime is 40532313242263. The reversal of 40532313242240 is 4224231323504.

It can be written as a sum of positive squares in 4 ways, for example, as 39254635683904 + 1277677558336 = 6265352^2 + 1130344^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 40532313242240.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28271999 + ... + 29671038.

Almost surely, 2^{40532313242240} is an apocalyptic number.

40532313242240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40532313242240 is an abundant number, since it is smaller than the sum of its proper divisors (56453902622920).

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

40532313242240 is a wasteful number, since it uses less digits than its factorization.

40532313242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57944149 (or 57944137 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 40532313242240 its reverse (4224231323504), we get a palindrome (44756544565744).

The spelling of 40532313242240 in words is "forty trillion, five hundred thirty-two billion, three hundred thirteen million, two hundred forty-two thousand, two hundred forty".