45150402400 has 72 divisors (see below), whose sum is σ = 110359280304. Its totient is φ = 18037900800.

The previous prime is 45150402389. The next prime is 45150402433. The reversal of 45150402400 is 420405154.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 622429 + ... + 691171.

It is an arithmetic number, because the mean of its divisors is an integer number (1532767782).

Almost surely, 2^45150402400 is an apocalyptic number.

45150402400 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 45150402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55179640152).

45150402400 is an abundant number, since it is smaller than the sum of its proper divisors (65208877904).

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

45150402400 is a wasteful number, since it uses less digits than its factorization.

45150402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69584 (or 69571 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 45150402400 its reverse (420405154), we get a palindrome (45570807554).

The spelling of 45150402400 in words is "forty-five billion, one hundred fifty million, four hundred two thousand, four hundred".