401163130368 has 960 divisors, whose sum is σ = 1608647040000. Its totient is φ = 92835348480.

The previous prime is 401163130301. The next prime is 401163130387. The reversal of 401163130368 is 863031361104.

401163130368 is a `hidden beast` number, since 4 + 0 + 1 + 163 + 130 + 368 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133764133 + ... + 133767131.

It is an arithmetic number, because the mean of its divisors is an integer number (1675674000).

Almost surely, 2^401163130368 is an apocalyptic number.

401163130368 is a gapful number since it is divisible by the number (48) 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 401163130368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804323520000).

401163130368 is an abundant number, since it is smaller than the sum of its proper divisors (1207483909632).

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

401163130368 is a wasteful number, since it uses less digits than its factorization.

401163130368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 401163130368 in words is "four hundred one billion, one hundred sixty-three million, one hundred thirty thousand, three hundred sixty-eight".