401431134104 has 256 divisors, whose sum is σ = 1039643458560. Its totient is φ = 140279040000.

The previous prime is 401431134101. The next prime is 401431134149.

It is a happy number.

401431134104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×401431134104² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401431134101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40539554 + ... + 40549454.

It is an arithmetic number, because the mean of its divisors is an integer number (4061107260).

Almost surely, 2^401431134104 is an apocalyptic number.

401431134104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401431134104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519821729280).

401431134104 is an abundant number, since it is smaller than the sum of its proper divisors (638212324456).

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

401431134104 is a wasteful number, since it uses less digits than its factorization.

401431134104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10082 (or 10078 counting only the distinct ones).

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

It can be divided in two parts, 401431 and 134104, that added together give a palindrome (535535).

The spelling of 401431134104 in words is "four hundred one billion, four hundred thirty-one million, one hundred thirty-four thousand, one hundred four".