5140476432 has 560 divisors, whose sum is σ = 19126275840. Its totient is φ = 1301142528.

The previous prime is 5140476431. The next prime is 5140476437. The reversal of 5140476432 is 2346740415.

5140476432 is a `hidden beast` number, since 5 + 1 + 4 + 0 + 4 + 7 + 643 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5140476431) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 30781213 + ... + 30781379.

It is an arithmetic number, because the mean of its divisors is an integer number (34154064).

Almost surely, 2^5140476432 is an apocalyptic number.

5140476432 is a gapful number since it is divisible by the number (52) 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 5140476432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9563137920).

5140476432 is an abundant number, since it is smaller than the sum of its proper divisors (13985799408).

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

5140476432 is a wasteful number, since it uses less digits than its factorization.

5140476432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 5140476432 is about 71697.1159252588. The cubic root of 5140476432 is about 1725.8423590992.

The spelling of 5140476432 in words is "five billion, one hundred forty million, four hundred seventy-six thousand, four hundred thirty-two".