5134434042400 has 72 divisors (see below), whose sum is σ = 13498624603044. Its totient is φ = 1895791027200.

The previous prime is 5134434042337. The next prime is 5134434042401. The reversal of 5134434042400 is 42404344315.

It can be written as a sum of positive squares in 6 ways, for example, as 1377365126544 + 3757068915856 = 1173612^2 + 1938316^2 .

It is not an unprimeable number, because it can be changed into a prime (5134434042401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 246837391 + ... + 246858190.

Almost surely, 2^{5134434042400} is an apocalyptic number.

5134434042400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5134434042400 is an abundant number, since it is smaller than the sum of its proper divisors (8364190560644).

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

5134434042400 is a wasteful number, since it uses less digits than its factorization.

5134434042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493695614 (or 493695601 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

Adding to 5134434042400 its reverse (42404344315), we get a palindrome (5176838386715).

The spelling of 5134434042400 in words is "five trillion, one hundred thirty-four billion, four hundred thirty-four million, forty-two thousand, four hundred".