45272102400 has 720 divisors, whose sum is σ = 191240045568. Its totient is φ = 10008576000.

The previous prime is 45272102353. The next prime is 45272102423. The reversal of 45272102400 is 420127254.

45272102400 is a `hidden beast` number, since 45 + 2 + 7 + 210 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24997495 + ... + 24999305.

Almost surely, 2^45272102400 is an apocalyptic number.

45272102400 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 45272102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95620022784).

45272102400 is an abundant number, since it is smaller than the sum of its proper divisors (145967943168).

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

45272102400 is a wasteful number, since it uses less digits than its factorization.

45272102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

Adding to 45272102400 its reverse (420127254), we get a palindrome (45692229654).

The spelling of 45272102400 in words is "forty-five billion, two hundred seventy-two million, one hundred two thousand, four hundred".