48671034400 has 144 divisors (see below), whose sum is σ = 122111121888. Its totient is φ = 18931968000.

The previous prime is 48671034371. The next prime is 48671034437. The reversal of 48671034400 is 443017684.

It is a self number, because there is not a number n which added to its sum of digits gives 48671034400.

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, 10854559 + ... + 10859041.

It is an arithmetic number, because the mean of its divisors is an integer number (847993902).

Almost surely, 2^48671034400 is an apocalyptic number.

48671034400 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 48671034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61055560944).

48671034400 is an abundant number, since it is smaller than the sum of its proper divisors (73440087488).

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

48671034400 is a wasteful number, since it uses less digits than its factorization.

48671034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4875 (or 4862 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 48671034400 in words is "forty-eight billion, six hundred seventy-one million, thirty-four thousand, four hundred".