401161798800 has 720 divisors, whose sum is σ = 1654253898752. Its totient is φ = 91455091200.

The previous prime is 401161798789. The next prime is 401161798813. The reversal of 401161798800 is 8897161104.

It is a happy number.

401161798800 is a `hidden beast` number, since 401 + 161 + 7 + 9 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 494650395 + ... + 494651205.

Almost surely, 2^401161798800 is an apocalyptic number.

401161798800 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 401161798800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827126949376).

401161798800 is an abundant number, since it is smaller than the sum of its proper divisors (1253092099952).

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

401161798800 is a wasteful number, since it uses less digits than its factorization.

401161798800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 401161798800 in words is "four hundred one billion, one hundred sixty-one million, seven hundred ninety-eight thousand, eight hundred".