400013114431201 has 16 divisors (see below), whose sum is σ = 423372793447296. Its totient is φ = 377156944365696.

The previous prime is 400013114431141. The next prime is 400013114431241. The reversal of 400013114431201 is 102134411310004.

It is a cyclic number.

It is not a de Polignac number, because 400013114431201 - 2¹³ = 400013114423009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (400013114431241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67519195 + ... + 73204288.

It is an arithmetic number, because the mean of its divisors is an integer number (26460799590456).

Almost surely, 2^{400013114431201} is an apocalyptic number.

It is an amenable number.

400013114431201 is a deficient number, since it is larger than the sum of its proper divisors (23359679016095).

400013114431201 is a wasteful number, since it uses less digits than its factorization.

400013114431201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140725272.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 400013114431201 its reverse (102134411310004), we get a palindrome (502147525741205).

The spelling of 400013114431201 in words is "four hundred trillion, thirteen billion, one hundred fourteen million, four hundred thirty-one thousand, two hundred one".