401433334104 has 64 divisors (see below), whose sum is σ = 1152440208000. Its totient is φ = 115244017920.

The previous prime is 401433334039. The next prime is 401433334109.

401433334104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×401433334104² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401433334109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40010269 + ... + 40020300.

It is an arithmetic number, because the mean of its divisors is an integer number (18006878250).

Almost surely, 2^401433334104 is an apocalyptic number.

401433334104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

401433334104 is an abundant number, since it is smaller than the sum of its proper divisors (751006873896).

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

401433334104 is a wasteful number, since it uses less digits than its factorization.

401433334104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80030608 (or 80030604 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 401433 and 334104, that added together give a palindrome (735537).

The spelling of 401433334104 in words is "four hundred one billion, four hundred thirty-three million, three hundred thirty-four thousand, one hundred four".