48021926400 has 1440 divisors, whose sum is σ = 216569852928. Its totient is φ = 9909043200.

The previous prime is 48021926347. The next prime is 48021926443. The reversal of 48021926400 is 462912084.

48021926400 is a `hidden beast` number, since 4 + 8 + 0 + 2 + 1 + 9 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×48021926400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 424972744 + ... + 424972856.

Almost surely, 2^48021926400 is an apocalyptic number.

48021926400 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 48021926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108284926464).

48021926400 is an abundant number, since it is smaller than the sum of its proper divisors (168547926528).

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

48021926400 is a wasteful number, since it uses less digits than its factorization.

48021926400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 48021926400 in words is "forty-eight billion, twenty-one million, nine hundred twenty-six thousand, four hundred".