404114106984 has 128 divisors (see below), whose sum is σ = 1188541347840. Its totient is φ = 112100389632.

The previous prime is 404114106947. The next prime is 404114107043. The reversal of 404114106984 is 489601411404.

It is a super-2 number, since 2×404114106984² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1038922 + ... + 1373894.

It is an arithmetic number, because the mean of its divisors is an integer number (9285479280).

Almost surely, 2^404114106984 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 404114106984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594270673920).

404114106984 is an abundant number, since it is smaller than the sum of its proper divisors (784427240856).

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

404114106984 is a wasteful number, since it uses less digits than its factorization.

404114106984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335199 (or 335195 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 404114106984 in words is "four hundred four billion, one hundred fourteen million, one hundred six thousand, nine hundred eighty-four".