401082880 has 80 divisors (see below), whose sum is σ = 1049156064. Its totient is φ = 145838080.

The previous prime is 401082859. The next prime is 401082893. The reversal of 401082880 is 88280104.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21039 + ... + 35281.

Almost surely, 2^401082880 is an apocalyptic number.

401082880 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 401082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524578032).

401082880 is an abundant number, since it is smaller than the sum of its proper divisors (648073184).

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

401082880 is a wasteful number, since it uses less digits than its factorization.

401082880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14277 (or 14261 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 401082880 is about 20027.0537024296. The cubic root of 401082880 is about 737.4705946334.

The spelling of 401082880 in words is "four hundred one million, eighty-two thousand, eight hundred eighty".