5134933440 has 840 divisors, whose sum is σ = 22956085152. Its totient is φ = 1079930880.

The previous prime is 5134933411. The next prime is 5134933477. The reversal of 5134933440 is 443394315.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a junction number, because it is equal to n+sod(n) for n = 5134933395 and 5134933404.

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 119 ways as a sum of consecutive naturals, for example, 16510885 + ... + 16511195.

Almost surely, 2^5134933440 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 5134933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11478042576).

5134933440 is an abundant number, since it is smaller than the sum of its proper divisors (17821151712).

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

5134933440 is a wasteful number, since it uses less digits than its factorization.

5134933440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 5134933440 is about 71658.4498855508. The cubic root of 5134933440 is about 1725.2218089066.

The spelling of 5134933440 in words is "five billion, one hundred thirty-four million, nine hundred thirty-three thousand, four hundred forty".