6415102440 has 48 divisors (see below), whose sum is σ = 20849084100. Its totient is φ = 1710693888.

The previous prime is 6415102417. The next prime is 6415102493. The reversal of 6415102440 is 442015146.

6415102440 is a `hidden beast` number, since 6 + 415 + 1 + 0 + 244 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6256493604 + 158608836 = 79098^2 + 12594^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8909505 + ... + 8910224.

Almost surely, 2^6415102440 is an apocalyptic number.

6415102440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6415102440 is an abundant number, since it is smaller than the sum of its proper divisors (14433981660).

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

6415102440 is a wasteful number, since it uses less digits than its factorization.

6415102440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17819746 (or 17819739 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 6415102440 is about 80094.3346311086. The cubic root of 6415102440 is about 1858.0947886521.

Adding to 6415102440 its reverse (442015146), we get a palindrome (6857117586).

It can be divided in two parts, 641 and 5102440, that added together give a square (5103081 = 2259²).

The spelling of 6415102440 in words is "six billion, four hundred fifteen million, one hundred two thousand, four hundred forty".