48755000701440 has 320 divisors, whose sum is σ = 188925630664320. Its totient is φ = 11819393925120.

The previous prime is 48755000701409. The next prime is 48755000701501. The reversal of 48755000701440 is 4410700055784.

48755000701440 is a `hidden beast` number, since 4 + 8 + 75 + 500 + 0 + 70 + 1 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 31301839 + ... + 32822478.

It is an arithmetic number, because the mean of its divisors is an integer number (590392595826).

Almost surely, 2^{48755000701440} is an apocalyptic number.

48755000701440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48755000701440 is an abundant number, since it is smaller than the sum of its proper divisors (140170629962880).

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

48755000701440 is a wasteful number, since it uses less digits than its factorization.

48755000701440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64124360 (or 64124338 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 48755000701440 in words is "forty-eight trillion, seven hundred fifty-five billion, seven hundred one thousand, four hundred forty".