45130454400 has 192 divisors, whose sum is σ = 148887702720. Its totient is φ = 12015421440.

The previous prime is 45130454399. The next prime is 45130454471. The reversal of 45130454400 is 445403154.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 6553359 + ... + 6560241.

It is an arithmetic number, because the mean of its divisors is an integer number (775456785).

Almost surely, 2^45130454400 is an apocalyptic number.

45130454400 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 45130454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74443851360).

45130454400 is an abundant number, since it is smaller than the sum of its proper divisors (103757248320).

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

45130454400 is a wasteful number, since it uses less digits than its factorization.

45130454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7593 (or 7576 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 45130454400 its reverse (445403154), we get a palindrome (45575857554).

The spelling of 45130454400 in words is "forty-five billion, one hundred thirty million, four hundred fifty-four thousand, four hundred".