401414001320000 has 70 divisors (see below), whose sum is σ = 995376263822358. Its totient is φ = 160565600512000.

The previous prime is 401414001319957. The next prime is 401414001320069. The reversal of 401414001320000 is 23100414104.

It can be written as a sum of positive squares in 5 ways, for example, as 166128589471744 + 235285411848256 = 12889088^2 + 15339016^2 .

It is a super-2 number, since 2×401414001320000² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5017635017 + ... + 5017715016.

Almost surely, 2^{401414001320000} is an apocalyptic number.

401414001320000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401414001320000 is an abundant number, since it is smaller than the sum of its proper divisors (593962262502358).

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

401414001320000 is an equidigital number, since it uses as much as digits as its factorization.

401414001320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10035350065 (or 10035350040 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 401414001320000 its reverse (23100414104), we get a palindrome (401437101734104).

The spelling of 401414001320000 in words is "four hundred one trillion, four hundred fourteen billion, one million, three hundred twenty thousand".