45275632400 has 120 divisors (see below), whose sum is σ = 110785617600. Its totient is φ = 17776396800.

The previous prime is 45275632393. The next prime is 45275632403. The reversal of 45275632400 is 423657254.

It is not an unprimeable number, because it can be changed into a prime (45275632403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24094661 + ... + 24096539.

It is an arithmetic number, because the mean of its divisors is an integer number (923213480).

Almost surely, 2^45275632400 is an apocalyptic number.

45275632400 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 45275632400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55392808800).

45275632400 is an abundant number, since it is smaller than the sum of its proper divisors (65509985200).

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

45275632400 is a wasteful number, since it uses less digits than its factorization.

45275632400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2977 (or 2966 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 38.

The spelling of 45275632400 in words is "forty-five billion, two hundred seventy-five million, six hundred thirty-two thousand, four hundred".