401142131214 has 96 divisors (see below), whose sum is σ = 918418006656. Its totient is φ = 115754863680.

The previous prime is 401142131209. The next prime is 401142131279. The reversal of 401142131214 is 412131241104.

It is a happy number.

It is a super-2 number, since 2×401142131214² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5357197 + ... + 5431559.

It is an arithmetic number, because the mean of its divisors is an integer number (9566854236).

Almost surely, 2^401142131214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401142131214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459209003328).

401142131214 is an abundant number, since it is smaller than the sum of its proper divisors (517275875442).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

401142131214 is a wasteful number, since it uses less digits than its factorization.

401142131214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74510 (or 74463 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 401142131214 its reverse (412131241104), we get a palindrome (813273372318).

The spelling of 401142131214 in words is "four hundred one billion, one hundred forty-two million, one hundred thirty-one thousand, two hundred fourteen".