401858185817088 has 1408 divisors, whose sum is σ = 1620422985646080. Its totient is φ = 94992113664000.

The previous prime is 401858185816999. The next prime is 401858185817197. The reversal of 401858185817088 is 880718581858104.

401858185817088 is a `hidden beast` number, since 401 + 8 + 5 + 81 + 8 + 58 + 17 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×401858185817088² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1964868753 + ... + 1965073263.

It is an arithmetic number, because the mean of its divisors is an integer number (1150868597760).

Almost surely, 2^{401858185817088} is an apocalyptic number.

401858185817088 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 401858185817088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810211492823040).

401858185817088 is an abundant number, since it is smaller than the sum of its proper divisors (1218564799828992).

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

401858185817088 is a wasteful number, since it uses less digits than its factorization.

401858185817088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204642 (or 204618 counting only the distinct ones).

The product of its (nonzero) digits is 183500800, while the sum is 72.

The spelling of 401858185817088 in words is "four hundred one trillion, eight hundred fifty-eight billion, one hundred eighty-five million, eight hundred seventeen thousand, eighty-eight".