401680416000 has 288 divisors, whose sum is σ = 1338318124416. Its totient is φ = 106782720000.

The previous prime is 401680415897. The next prime is 401680416023. The reversal of 401680416000 is 614086104.

It is a super-2 number, since 2×401680416000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31769680 + ... + 31782320.

It is an arithmetic number, because the mean of its divisors is an integer number (4646937932).

Almost surely, 2^401680416000 is an apocalyptic number.

401680416000 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 401680416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669159062208).

401680416000 is an abundant number, since it is smaller than the sum of its proper divisors (936637708416).

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

401680416000 is a wasteful number, since it uses less digits than its factorization.

401680416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13006 (or 12982 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 401680416000 in words is "four hundred one billion, six hundred eighty million, four hundred sixteen thousand".