48440271264 has 192 divisors, whose sum is σ = 159452375040. Its totient is φ = 12508830720.

The previous prime is 48440271197. The next prime is 48440271323. The reversal of 48440271264 is 46217204484.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1259877 + ... + 1297755.

It is an arithmetic number, because the mean of its divisors is an integer number (830481120).

Almost surely, 2^48440271264 is an apocalyptic number.

48440271264 is a gapful number since it is divisible by the number (44) 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 48440271264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79726187520).

48440271264 is an abundant number, since it is smaller than the sum of its proper divisors (111012103776).

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

48440271264 is a wasteful number, since it uses less digits than its factorization.

48440271264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38083 (or 38075 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 42.

The spelling of 48440271264 in words is "forty-eight billion, four hundred forty million, two hundred seventy-one thousand, two hundred sixty-four".