401415104000 has 160 divisors (see below), whose sum is σ = 1004611566816. Its totient is φ = 159979315200.

The previous prime is 401415103987. The next prime is 401415104039. The reversal of 401415104000 is 401514104.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×401415104000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17716679 + ... + 17739321.

Almost surely, 2^401415104000 is an apocalyptic number.

401415104000 is a gapful number since it is divisible by the number (40) 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 401415104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502305783408).

401415104000 is an abundant number, since it is smaller than the sum of its proper divisors (603196462816).

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

401415104000 is an equidigital number, since it uses as much as digits as its factorization.

401415104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22953 (or 22927 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 401415104000 its reverse (401514104), we get a palindrome (401816618104).

The spelling of 401415104000 in words is "four hundred one billion, four hundred fifteen million, one hundred four thousand".