401101908480 has 1280 divisors, whose sum is σ = 1795525079040. Its totient is φ = 82604261376.

The previous prime is 401101908463. The next prime is 401101908481. The reversal of 401101908480 is 84809101104.

401101908480 is a `hidden beast` number, since 401 + 10 + 1 + 90 + 84 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (401101908481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 270465819 + ... + 270467301.

It is an arithmetic number, because the mean of its divisors is an integer number (1402753968).

Almost surely, 2^401101908480 is an apocalyptic number.

401101908480 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 401101908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897762539520).

401101908480 is an abundant number, since it is smaller than the sum of its proper divisors (1394423170560).

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

401101908480 is a wasteful number, since it uses less digits than its factorization.

401101908480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 401101908480 in words is "four hundred one billion, one hundred one million, nine hundred eight thousand, four hundred eighty".