15404242414401 has 24 divisors (see below), whose sum is σ = 22263626382504. Its totient is φ = 10263471482880.

The previous prime is 15404242414373. The next prime is 15404242414417. The reversal of 15404242414401 is 10441424240451.

15404242414401 is a `hidden beast` number, since 1 + 5 + 4 + 0 + 4 + 2 + 4 + 241 + 4 + 401 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 94864616001 + 15309377798400 = 308001^2 + 3912720^2 .

It is not a de Polignac number, because 15404242414401 - 2²² = 15404238220097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (15404242414601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135738855 + ... + 135852291.

It is an arithmetic number, because the mean of its divisors is an integer number (927651099271).

Almost surely, 2^{15404242414401} is an apocalyptic number.

It is an amenable number.

15404242414401 is a deficient number, since it is larger than the sum of its proper divisors (6859383968103).

15404242414401 is a wasteful number, since it uses less digits than its factorization.

15404242414401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122161 (or 122158 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

Adding to 15404242414401 its reverse (10441424240451), we get a palindrome (25845666654852).

The spelling of 15404242414401 in words is "fifteen trillion, four hundred four billion, two hundred forty-two million, four hundred fourteen thousand, four hundred one".