8009624021401 has 8 divisors (see below), whose sum is σ = 8012942015624. Its totient is φ = 8006306302080.

The previous prime is 8009624021381. The next prime is 8009624021431. The reversal of 8009624021401 is 1041204269008.

It can be written as a sum of positive squares in 4 ways, for example, as 683664385600 + 7325959635801 = 826840^2 + 2706651^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8009624021401 - 2²³ = 8009615632793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8009624021431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74665135 + ... + 74772331.

It is an arithmetic number, because the mean of its divisors is an integer number (1001617751953).

Almost surely, 2^{8009624021401} is an apocalyptic number.

It is an amenable number.

8009624021401 is a deficient number, since it is larger than the sum of its proper divisors (3317994223).

8009624021401 is a wasteful number, since it uses less digits than its factorization.

8009624021401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137451.

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 8009624021401 in words is "eight trillion, nine billion, six hundred twenty-four million, twenty-one thousand, four hundred one".