90984241440 has 480 divisors, whose sum is σ = 333054602496. Its totient is φ = 23374172160.

The previous prime is 90984241421. The next prime is 90984241463. The reversal of 90984241440 is 4414248909.

90984241440 is a `hidden beast` number, since 90 + 9 + 84 + 2 + 41 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44101849 + ... + 44103911.

Almost surely, 2^90984241440 is an apocalyptic number.

90984241440 is a gapful number since it is divisible by the number (90) 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 90984241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166527301248).

90984241440 is an abundant number, since it is smaller than the sum of its proper divisors (242070361056).

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

90984241440 is a wasteful number, since it uses less digits than its factorization.

90984241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 90984241440 in words is "ninety billion, nine hundred eighty-four million, two hundred forty-one thousand, four hundred forty".