401050080 has 144 divisors (see below), whose sum is σ = 1428204960. Its totient is φ = 102288384.

The previous prime is 401050079. The next prime is 401050123. The reversal of 401050080 is 80050104.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27066 + ... + 39174.

It is an arithmetic number, because the mean of its divisors is an integer number (9918090).

Almost surely, 2^401050080 is an apocalyptic number.

401050080 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 401050080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714102480).

401050080 is an abundant number, since it is smaller than the sum of its proper divisors (1027154880).

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

401050080 is a wasteful number, since it uses less digits than its factorization.

401050080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12153 (or 12142 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 401050080 is about 20026.2347933904. The cubic root of 401050080 is about 737.4504909789.

The spelling of 401050080 in words is "four hundred one million, fifty thousand, eighty".