4561072400 has 60 divisors (see below), whose sum is σ = 10995658212. Its totient is φ = 1818155520.

The previous prime is 4561072391. The next prime is 4561072499. The reversal of 4561072400 is 42701654.

It can be written as a sum of positive squares in 6 ways, for example, as 36626704 + 4524445696 = 6052^2 + 67264^2 .

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, 97742 + ... + 136658.

Almost surely, 2^4561072400 is an apocalyptic number.

4561072400 is a gapful number since it is divisible by the number (40) 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 4561072400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5497829106).

4561072400 is an abundant number, since it is smaller than the sum of its proper divisors (6434585812).

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

4561072400 is a wasteful number, since it uses less digits than its factorization.

4561072400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39228 (or 39217 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 4561072400 is about 67535.7120344489. The cubic root of 4561072400 is about 1658.3988528836.

The spelling of 4561072400 in words is "four billion, five hundred sixty-one million, seventy-two thousand, four hundred".