48150277993440 has 432 divisors, whose sum is σ = 191435012731872. Its totient is φ = 10988756932608.

The previous prime is 48150277993439. The next prime is 48150277993457. The reversal of 48150277993440 is 4439977205184.

48150277993440 is a `hidden beast` number, since 4 + 8 + 1 + 502 + 7 + 7 + 99 + 34 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45124962 + ... + 46179678.

It is an arithmetic number, because the mean of its divisors is an integer number (443136603546).

Almost surely, 2^{48150277993440} is an apocalyptic number.

48150277993440 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 48150277993440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95717506365936).

48150277993440 is an abundant number, since it is smaller than the sum of its proper divisors (143284734738432).

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

48150277993440 is a wasteful number, since it uses less digits than its factorization.

48150277993440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055399 (or 1055381 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 48150277993440 in words is "forty-eight trillion, one hundred fifty billion, two hundred seventy-seven million, nine hundred ninety-three thousand, four hundred forty".