5142032640 has 216 divisors, whose sum is σ = 17888270400. Its totient is φ = 1363709952.

The previous prime is 5142032629. The next prime is 5142032669. The reversal of 5142032640 is 462302415.

5142032640 is a `hidden beast` number, since 5 + 14 + 2 + 0 + 3 + 2 + 640 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2291359 + ... + 2293601.

Almost surely, 2^5142032640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5142032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8944135200).

5142032640 is an abundant number, since it is smaller than the sum of its proper divisors (12746237760).

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

5142032640 is a wasteful number, since it uses less digits than its factorization.

5142032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5142032640 is about 71707.9677581229. The cubic root of 5142032640 is about 1726.0164998130.

The spelling of 5142032640 in words is "five billion, one hundred forty-two million, thirty-two thousand, six hundred forty".