8400947811201 has 96 divisors (see below), whose sum is σ = 14021071384320. Its totient is φ = 4797393216000.

The previous prime is 8400947811163. The next prime is 8400947811281. The reversal of 8400947811201 is 1021187490048.

8400947811201 is a `hidden beast` number, since 8 + 400 + 9 + 47 + 81 + 120 + 1 = 666.

It is not a de Polignac number, because 8400947811201 - 2²³ = 8400939422593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8400947811281) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 45212755 + ... + 45398183.

It is an arithmetic number, because the mean of its divisors is an integer number (146052826920).

Almost surely, 2^{8400947811201} is an apocalyptic number.

It is an amenable number.

8400947811201 is a deficient number, since it is larger than the sum of its proper divisors (5620123573119).

8400947811201 is a wasteful number, since it uses less digits than its factorization.

8400947811201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185767 (or 185764 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 8400947811201 in words is "eight trillion, four hundred billion, nine hundred forty-seven million, eight hundred eleven thousand, two hundred one".