47999292625440 has 384 divisors, whose sum is σ = 186756559718400. Its totient is φ = 11434074255360.

The previous prime is 47999292625433. The next prime is 47999292625447. The reversal of 47999292625440 is 4452629299974.

47999292625440 is a `hidden beast` number, since 4 + 7 + 9 + 9 + 92 + 92 + 6 + 2 + 5 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (47999292625433) and next prime (47999292625447).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (47999292625447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12044335 + ... + 15526254.

It is an arithmetic number, because the mean of its divisors is an integer number (486345207600).

Almost surely, 2^{47999292625440} is an apocalyptic number.

47999292625440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47999292625440 is an abundant number, since it is smaller than the sum of its proper divisors (138757267092960).

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

47999292625440 is a wasteful number, since it uses less digits than its factorization.

47999292625440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27570657 (or 27570643 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 47999292625440 in words is "forty-seven trillion, nine hundred ninety-nine billion, two hundred ninety-two million, six hundred twenty-five thousand, four hundred forty".