48004070400 has 1584 divisors, whose sum is σ = 212874375168. Its totient is φ = 10174464000.

The previous prime is 48004070377. The next prime is 48004070441. The reversal of 48004070400 is 407040084.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a congruent number.

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, 1021363177 + ... + 1021363223.

Almost surely, 2^48004070400 is an apocalyptic number.

48004070400 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 48004070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106437187584).

48004070400 is an abundant number, since it is smaller than the sum of its proper divisors (164870304768).

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

48004070400 is a wasteful number, since it uses less digits than its factorization.

48004070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The spelling of 48004070400 in words is "forty-eight billion, four million, seventy thousand, four hundred".