5004160400 has 90 divisors (see below), whose sum is σ = 12122732466. Its totient is φ = 1985088000.

The previous prime is 5004160379. The next prime is 5004160417. The reversal of 5004160400 is 40614005.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 558471424 + 4445688976 = 23632^2 + 66676^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17808260 + ... + 17808540.

Almost surely, 2^5004160400 is an apocalyptic number.

5004160400 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 5004160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6061366233).

5004160400 is an abundant number, since it is smaller than the sum of its proper divisors (7118572066).

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

5004160400 is a wasteful number, since it uses less digits than its factorization.

5004160400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 5004160400 is about 70740.0904720937. The cubic root of 5004160400 is about 1710.4500941200.

Adding to 5004160400 its reverse (40614005), we get a palindrome (5044774405).

The spelling of 5004160400 in words is "five billion, four million, one hundred sixty thousand, four hundred".