48179773440 has 612 divisors, whose sum is σ = 182735518212. Its totient is φ = 11702108160.

The previous prime is 48179773429. The next prime is 48179773463. The reversal of 48179773440 is 4437797184.

48179773440 is a `hidden beast` number, since 48 + 1 + 7 + 97 + 73 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27774222336 + 20405551104 = 166656^2 + 142848^2 .

It is a tau number, because it is divible by the number of its divisors (612).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1554186225 + ... + 1554186255.

Almost surely, 2^48179773440 is an apocalyptic number.

48179773440 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 48179773440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91367759106).

48179773440 is an abundant number, since it is smaller than the sum of its proper divisors (134555744772).

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

48179773440 is an equidigital number, since it uses as much as digits as its factorization.

48179773440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 48179773440 in words is "forty-eight billion, one hundred seventy-nine million, seven hundred seventy-three thousand, four hundred forty".