401971600000 has 384 divisors, whose sum is σ = 1062803851200. Its totient is φ = 151004160000.

The previous prime is 401971599919. The next prime is 401971600039. The reversal of 401971600000 is 6179104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1725199884 + ... + 1725200116.

Almost surely, 2^401971600000 is an apocalyptic number.

401971600000 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 401971600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531401925600).

401971600000 is an abundant number, since it is smaller than the sum of its proper divisors (660832251200).

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

401971600000 is an equidigital number, since it uses as much as digits as its factorization.

401971600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

Adding to 401971600000 its reverse (6179104), we get a palindrome (401977779104).

The spelling of 401971600000 in words is "four hundred one billion, nine hundred seventy-one million, six hundred thousand".