48976440480 has 384 divisors, whose sum is σ = 188177955840. Its totient is φ = 11798369280.

The previous prime is 48976440463. The next prime is 48976440493. The reversal of 48976440480 is 8404467984.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7742599 + ... + 7748921.

It is an arithmetic number, because the mean of its divisors is an integer number (490046760).

Almost surely, 2^48976440480 is an apocalyptic number.

48976440480 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 48976440480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94088977920).

48976440480 is an abundant number, since it is smaller than the sum of its proper divisors (139201515360).

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

48976440480 is a wasteful number, since it uses less digits than its factorization.

48976440480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6521 (or 6507 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 48976440480 in words is "forty-eight billion, nine hundred seventy-six million, four hundred forty thousand, four hundred eighty".