400014412201331 has 2 divisors, whose sum is σ = 400014412201332. Its totient is φ = 400014412201330.

The previous prime is 400014412201309. The next prime is 400014412201337. The reversal of 400014412201331 is 133102214410004.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-400014412201331 is a prime.

It is a super-4 number, since 4×400014412201331⁴ (a number of 60 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 400014412201331.

It is not a weakly prime, because it can be changed into another prime (400014412201337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200007206100665 + 200007206100666.

It is an arithmetic number, because the mean of its divisors is an integer number (200007206100666).

Almost surely, 2^{400014412201331} is an apocalyptic number.

400014412201331 is a deficient number, since it is larger than the sum of its proper divisors (1).

400014412201331 is an equidigital number, since it uses as much as digits as its factorization.

400014412201331 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 400014412201331 its reverse (133102214410004), we get a palindrome (533116626611335).

The spelling of 400014412201331 in words is "four hundred trillion, fourteen billion, four hundred twelve million, two hundred one thousand, three hundred thirty-one".