4164756400 has 120 divisors (see below), whose sum is σ = 11701505024. Its totient is φ = 1394668800.

The previous prime is 4164756391. The next prime is 4164756413. The reversal of 4164756400 is 46574614.

4164756400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4164756400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103105 + ... + 137695.

Almost surely, 2^4164756400 is an apocalyptic number.

4164756400 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 4164756400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5850752512).

4164756400 is an abundant number, since it is smaller than the sum of its proper divisors (7536748624).

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

4164756400 is a wasteful number, since it uses less digits than its factorization.

4164756400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34659 (or 34648 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 4164756400 is about 64534.9238784706. The cubic root of 4164756400 is about 1608.9030244607.

The spelling of 4164756400 in words is "four billion, one hundred sixty-four million, seven hundred fifty-six thousand, four hundred".