401179642680960 has 2048 divisors, whose sum is σ = 1813786103808000. Its totient is φ = 82305662976000.

The previous prime is 401179642680959. The next prime is 401179642680967. The reversal of 401179642680960 is 69086246971104.

401179642680960 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 79 + 6 + 426 + 80 + 9 + 60 = 666.

It is not an unprimeable number, because it can be changed into a prime (401179642680967) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1455304740 + ... + 1455580380.

It is an arithmetic number, because the mean of its divisors is an integer number (885637746000).

Almost surely, 2^{401179642680960} is an apocalyptic number.

401179642680960 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 401179642680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906893051904000).

401179642680960 is an abundant number, since it is smaller than the sum of its proper divisors (1412606461127040).

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

401179642680960 is a wasteful number, since it uses less digits than its factorization.

401179642680960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275743 (or 275725 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 401179642680960 in words is "four hundred one trillion, one hundred seventy-nine billion, six hundred forty-two million, six hundred eighty thousand, nine hundred sixty".