5134409280 has 1008 divisors, whose sum is σ = 24015947904. Its totient is φ = 977633280.

The previous prime is 5134409251. The next prime is 5134409321. The reversal of 5134409280 is 829044315.

5134409280 is a `hidden beast` number, since 51 + 3 + 440 + 92 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37477372 + ... + 37477508.

Almost surely, 2^5134409280 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 5134409280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12007973952).

5134409280 is an abundant number, since it is smaller than the sum of its proper divisors (18881538624).

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

5134409280 is a wasteful number, since it uses less digits than its factorization.

5134409280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5134409280 is about 71654.7924426552. The cubic root of 5134409280 is about 1725.1631049302.

It can be divided in two parts, 5134 and 409280, that added together give a palindrome (414414).

The spelling of 5134409280 in words is "five billion, one hundred thirty-four million, four hundred nine thousand, two hundred eighty".