5134384400 has 30 divisors (see below), whose sum is σ = 12335359482. Its totient is φ = 2053753600.

The previous prime is 5134384391. The next prime is 5134384417. The reversal of 5134384400 is 44834315.

It can be written as a sum of positive squares in 3 ways, for example, as 1375223056 + 3759161344 = 37084^2 + 61312^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6417581 + ... + 6418380.

Almost surely, 2^5134384400 is an apocalyptic number.

5134384400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5134384400 is an abundant number, since it is smaller than the sum of its proper divisors (7200975082).

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

5134384400 is a wasteful number, since it uses less digits than its factorization.

5134384400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12835979 (or 12835968 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 5134384400 is about 71654.6188322846. The cubic root of 5134384400 is about 1725.1603183632.

The spelling of 5134384400 in words is "five billion, one hundred thirty-four million, three hundred eighty-four thousand, four hundred".