401978188110240 has 192 divisors, whose sum is σ = 1607912752561920. Its totient is φ = 91880728704000.

The previous prime is 401978188110151. The next prime is 401978188110271. The reversal of 401978188110240 is 42011881879104.

It is a happy number.

401978188110240 is a `hidden beast` number, since 40 + 1 + 9 + 78 + 188 + 110 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6646434511 + ... + 6646494990.

It is an arithmetic number, because the mean of its divisors is an integer number (8374545586260).

Almost surely, 2^{401978188110240} is an apocalyptic number.

401978188110240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401978188110240 is an abundant number, since it is smaller than the sum of its proper divisors (1205934564451680).

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

401978188110240 is a wasteful number, since it uses less digits than its factorization.

401978188110240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13292929532 (or 13292929518 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 54.

The spelling of 401978188110240 in words is "four hundred one trillion, nine hundred seventy-eight billion, one hundred eighty-eight million, one hundred ten thousand, two hundred forty".