5134426400 has 72 divisors (see below), whose sum is σ = 12656314944. Its totient is φ = 2033798400.

The previous prime is 5134426399. The next prime is 5134426447. The reversal of 5134426400 is 46244315.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51245 + ... + 113555.

It is an arithmetic number, because the mean of its divisors is an integer number (175782152).

Almost surely, 2^5134426400 is an apocalyptic number.

5134426400 is a gapful number since it is divisible by the number (50) 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 5134426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6328157472).

5134426400 is an abundant number, since it is smaller than the sum of its proper divisors (7521888544).

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

5134426400 is a wasteful number, since it uses less digits than its factorization.

5134426400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62434 (or 62421 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 5134426400 is about 71654.9119042093. The cubic root of 5134426400 is about 1725.1650223699.

The spelling of 5134426400 in words is "five billion, one hundred thirty-four million, four hundred twenty-six thousand, four hundred".