401042244102032 has 160 divisors (see below), whose sum is σ = 924565526019072. Its totient is φ = 166628672888832.

The previous prime is 401042244102029. The next prime is 401042244102089. The reversal of 401042244102032 is 230201442240104.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 401042244101986 and 401042244102004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3340650233 + ... + 3340770279.

Almost surely, 2^{401042244102032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401042244102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462282763009536).

401042244102032 is an abundant number, since it is smaller than the sum of its proper divisors (523523281917040).

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

401042244102032 is a wasteful number, since it uses less digits than its factorization.

401042244102032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161185 (or 161179 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 401042244102032 its reverse (230201442240104), we get a palindrome (631243686342136).

The spelling of 401042244102032 in words is "four hundred one trillion, forty-two billion, two hundred forty-four million, one hundred two thousand, thirty-two".