401434110010131 has 96 divisors (see below), whose sum is σ = 594276664800000. Its totient is φ = 240844324596480.

The previous prime is 401434110010093. The next prime is 401434110010133. The reversal of 401434110010131 is 131010011434104.

It is not a de Polignac number, because 401434110010131 - 2⁶ = 401434110010067 is a prime.

It is a super-2 number, since 2×401434110010131² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401434110010133) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30943808361 + ... + 30943821333.

It is an arithmetic number, because the mean of its divisors is an integer number (6190381925000).

Almost surely, 2^{401434110010131} is an apocalyptic number.

401434110010131 is a deficient number, since it is larger than the sum of its proper divisors (192842554789869).

401434110010131 is a wasteful number, since it uses less digits than its factorization.

401434110010131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14865 (or 14854 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 401434110010131 its reverse (131010011434104), we get a palindrome (532444121444235).

The spelling of 401434110010131 in words is "four hundred one trillion, four hundred thirty-four billion, one hundred ten million, ten thousand, one hundred thirty-one".