401805485928 has 768 divisors, whose sum is σ = 1501759180800. Its totient is φ = 96518822400.

The previous prime is 401805485881. The next prime is 401805485941. The reversal of 401805485928 is 829584508104.

401805485928 is a `hidden beast` number, since 4 + 0 + 1 + 8 + 0 + 5 + 48 + 592 + 8 = 666.

It is a super-2 number, since 2×401805485928² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 367616550 + ... + 367617642.

It is an arithmetic number, because the mean of its divisors is an integer number (1955415600).

Almost surely, 2^401805485928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401805485928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750879590400).

401805485928 is an abundant number, since it is smaller than the sum of its proper divisors (1099953694872).

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

401805485928 is a wasteful number, since it uses less digits than its factorization.

401805485928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 401805485928 in words is "four hundred one billion, eight hundred five million, four hundred eighty-five thousand, nine hundred twenty-eight".