401171140800 has 672 divisors, whose sum is σ = 1558190269440. Its totient is φ = 100052582400.

The previous prime is 401171140787. The next prime is 401171140801. The reversal of 401171140800 is 8041171104.

401171140800 is a `hidden beast` number, since 401 + 171 + 14 + 0 + 80 + 0 = 666.

401171140800 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (401171140801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122643165 + ... + 122646435.

It is an arithmetic number, because the mean of its divisors is an integer number (2318735520).

Almost surely, 2^401171140800 is an apocalyptic number.

401171140800 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 401171140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779095134720).

401171140800 is an abundant number, since it is smaller than the sum of its proper divisors (1157019128640).

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

401171140800 is a wasteful number, since it uses less digits than its factorization.

401171140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3486 (or 3465 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The spelling of 401171140800 in words is "four hundred one billion, one hundred seventy-one million, one hundred forty thousand, eight hundred".