45213542400 has 288 divisors, whose sum is σ = 160974384480. Its totient is φ = 11128995840.

The previous prime is 45213542399. The next prime is 45213542417. The reversal of 45213542400 is 424531254.

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

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, 1985479 + ... + 2008121.

It is an arithmetic number, because the mean of its divisors is an integer number (558938835).

Almost surely, 2^45213542400 is an apocalyptic number.

45213542400 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 45213542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80487192240).

45213542400 is an abundant number, since it is smaller than the sum of its proper divisors (115760842080).

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

45213542400 is a wasteful number, since it uses less digits than its factorization.

45213542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22691 (or 22666 counting only the distinct ones).

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

The spelling of 45213542400 in words is "forty-five billion, two hundred thirteen million, five hundred forty-two thousand, four hundred".