5107942944 has 480 divisors, whose sum is σ = 17665479216. Its totient is φ = 1433272320.

The previous prime is 5107942897. The next prime is 5107942969. The reversal of 5107942944 is 4492497015.

5107942944 is a `hidden beast` number, since 510 + 7 + 9 + 42 + 94 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4046486544 + 1061456400 = 63612^2 + 32580^2 .

It is a super-2 number, since 2×5107942944² = 52182162238318774272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5107942944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21194664 + ... + 21194904.

Almost surely, 2^5107942944 is an apocalyptic number.

5107942944 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5107942944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8832739608).

5107942944 is an abundant number, since it is smaller than the sum of its proper divisors (12557536272).

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

5107942944 is a wasteful number, since it uses less digits than its factorization.

5107942944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5107942944 is about 71469.8743807487. The cubic root of 5107942944 is about 1722.1937646935.

The spelling of 5107942944 in words is "five billion, one hundred seven million, nine hundred forty-two thousand, nine hundred forty-four".