5404016100 has 576 divisors, whose sum is σ = 20638679040. Its totient is φ = 1061683200.

The previous prime is 5404016053. The next prime is 5404016141. The reversal of 5404016100 is 16104045.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21027172 + ... + 21027428.

It is an arithmetic number, because the mean of its divisors is an integer number (35831040).

Almost surely, 2^5404016100 is an apocalyptic number.

5404016100 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 5404016100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10319339520).

5404016100 is an abundant number, since it is smaller than the sum of its proper divisors (15234662940).

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

5404016100 is a wasteful number, since it uses less digits than its factorization.

5404016100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 5404016100 is about 73512.0133039492. The cubic root of 5404016100 is about 1754.8454665435.

The spelling of 5404016100 in words is "five billion, four hundred four million, sixteen thousand, one hundred".