4561382400 has 132 divisors (see below), whose sum is σ = 15075860232. Its totient is φ = 1216348160.

The previous prime is 4561382393. The next prime is 4561382429. The reversal of 4561382400 is 42831654.

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, 47104 + ... + 106496.

Almost surely, 2^4561382400 is an apocalyptic number.

4561382400 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 4561382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7537930116).

4561382400 is an abundant number, since it is smaller than the sum of its proper divisors (10514477832).

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

4561382400 is a wasteful number, since it uses less digits than its factorization.

4561382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59426 (or 59403 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 4561382400 is about 67538.0070774967. The cubic root of 4561382400 is about 1658.4364238722.

The spelling of 4561382400 in words is "four billion, five hundred sixty-one million, three hundred eighty-two thousand, four hundred".