401479575840 has 384 divisors, whose sum is σ = 1607024240640. Its totient is φ = 91703577600.

The previous prime is 401479575811. The next prime is 401479575853. The reversal of 401479575840 is 48575974104.

401479575840 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 7 + 9 + 57 + 584 + 0 = 666.

It is a super-2 number, since 2×401479575840² (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 63 ways as a sum of consecutive naturals, for example, 54760975 + ... + 54768305.

It is an arithmetic number, because the mean of its divisors is an integer number (4184958960).

Almost surely, 2^401479575840 is an apocalyptic number.

401479575840 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 401479575840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803512120320).

401479575840 is an abundant number, since it is smaller than the sum of its proper divisors (1205544664800).

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

401479575840 is a wasteful number, since it uses less digits than its factorization.

401479575840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9173 (or 9159 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 401479575840 in words is "four hundred one billion, four hundred seventy-nine million, five hundred seventy-five thousand, eight hundred forty".