401216716800 has 1080 divisors, whose sum is σ = 1552919877600. Its totient is φ = 102558597120.

The previous prime is 401216716793. The next prime is 401216716819. The reversal of 401216716800 is 8617612104.

It is a happy number.

401216716800 is a `hidden beast` number, since 401 + 2 + 167 + 16 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2886451131 + ... + 2886451269.

Almost surely, 2^401216716800 is an apocalyptic number.

401216716800 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 401216716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776459938800).

401216716800 is an abundant number, since it is smaller than the sum of its proper divisors (1151703160800).

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

401216716800 is an equidigital number, since it uses as much as digits as its factorization.

401216716800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 401216716800 in words is "four hundred one billion, two hundred sixteen million, seven hundred sixteen thousand, eight hundred".