984417093990 has 128 divisors (see below), whose sum is σ = 2864171404800. Its totient is φ = 238612187520.

The previous prime is 984417093971. The next prime is 984417094021. The reversal of 984417093990 is 99390714489.

984417093990 is a `hidden beast` number, since 9 + 8 + 441 + 70 + 9 + 39 + 90 = 666.

It is a congruent number.

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, 25014469 + ... + 25053791.

It is an arithmetic number, because the mean of its divisors is an integer number (22376339100).

Almost surely, 2^984417093990 is an apocalyptic number.

984417093990 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 984417093990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432085702400).

984417093990 is an abundant number, since it is smaller than the sum of its proper divisors (1879754310810).

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

984417093990 is a wasteful number, since it uses less digits than its factorization.

984417093990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47779 (or 47773 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 984417093990 in words is "nine hundred eighty-four billion, four hundred seventeen million, ninety-three thousand, nine hundred ninety".