47995711021440 has 4608 divisors, whose sum is σ = 232308351475200. Its totient is φ = 9354681778176.

The previous prime is 47995711021381. The next prime is 47995711021471. The reversal of 47995711021440 is 4412011759974.

47995711021440 is a `hidden beast` number, since 4 + 7 + 9 + 9 + 571 + 1 + 0 + 21 + 4 + 40 = 666.

47995711021440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 80937117784 + ... + 80937118376.

It is an arithmetic number, because the mean of its divisors is an integer number (50414138775).

Almost surely, 2^{47995711021440} is an apocalyptic number.

47995711021440 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 47995711021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116154175737600).

47995711021440 is an abundant number, since it is smaller than the sum of its proper divisors (184312640453760).

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

47995711021440 is a wasteful number, since it uses less digits than its factorization.

47995711021440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 47995711021440 in words is "forty-seven trillion, nine hundred ninety-five billion, seven hundred eleven million, twenty-one thousand, four hundred forty".