2400413313440 has 48 divisors (see below), whose sum is σ = 5671274049000. Its totient is φ = 960114938880.

The previous prime is 2400413313427. The next prime is 2400413313457. The reversal of 2400413313440 is 443133140042.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 859825943824 + 1540587369616 = 927268^2 + 1241204^2 .

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 7 ways as a sum of consecutive naturals, for example, 2742686 + ... + 3510434.

Almost surely, 2^{2400413313440} is an apocalyptic number.

2400413313440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400413313440 is an abundant number, since it is smaller than the sum of its proper divisors (3270860735560).

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

2400413313440 is a wasteful number, since it uses less digits than its factorization.

2400413313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787305 (or 787297 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 2400413313440 its reverse (443133140042), we get a palindrome (2843546453482).

The spelling of 2400413313440 in words is "two trillion, four hundred billion, four hundred thirteen million, three hundred thirteen thousand, four hundred forty".