48042086400 has 936 divisors, whose sum is σ = 214853730624. Its totient is φ = 9968025600.

The previous prime is 48042086381. The next prime is 48042086461. The reversal of 48042086400 is 468024084.

48042086400 is a `hidden beast` number, since 4 + 8 + 0 + 4 + 2 + 0 + 8 + 640 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 70962862 + ... + 70963538.

It is an arithmetic number, because the mean of its divisors is an integer number (229544584).

Almost surely, 2^48042086400 is an apocalyptic number.

48042086400 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 48042086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107426865312).

48042086400 is an abundant number, since it is smaller than the sum of its proper divisors (166811644224).

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

48042086400 is a wasteful number, since it uses less digits than its factorization.

48042086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 48042086400 in words is "forty-eight billion, forty-two million, eighty-six thousand, four hundred".