401043340104 has 512 divisors, whose sum is σ = 1268628480000. Its totient is φ = 104031682560.

The previous prime is 401043340051. The next prime is 401043340111.

401043340104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×401043340104² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 249249252 + ... + 249250860.

It is an arithmetic number, because the mean of its divisors is an integer number (2477790000).

Almost surely, 2^401043340104 is an apocalyptic number.

401043340104 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 401043340104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634314240000).

401043340104 is an abundant number, since it is smaller than the sum of its proper divisors (867585139896).

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

401043340104 is a wasteful number, since it uses less digits than its factorization.

401043340104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 401043 and 340104, that added together give a palindrome (741147).

The spelling of 401043340104 in words is "four hundred one billion, forty-three million, three hundred forty thousand, one hundred four".