401142133434 has 128 divisors (see below), whose sum is σ = 965520041472. Its totient is φ = 108695900160.

The previous prime is 401142133421. The next prime is 401142133453. The reversal of 401142133434 is 434331241104.

It is a super-2 number, since 2×401142133434² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95122894 + ... + 95127110.

It is an arithmetic number, because the mean of its divisors is an integer number (7543125324).

Almost surely, 2^401142133434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401142133434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482760020736).

401142133434 is an abundant number, since it is smaller than the sum of its proper divisors (564377908038).

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

401142133434 is a wasteful number, since it uses less digits than its factorization.

401142133434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5800.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 401142133434 its reverse (434331241104), we get a palindrome (835473374538).

The spelling of 401142133434 in words is "four hundred one billion, one hundred forty-two million, one hundred thirty-three thousand, four hundred thirty-four".