220982999040 has 1536 divisors, whose sum is σ = 905748480000. Its totient is φ = 50801541120.

The previous prime is 220982999023. The next prime is 220982999051. The reversal of 220982999040 is 40999289022.

220982999040 is a `hidden beast` number, since 220 + 9 + 8 + 299 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3745474531 + ... + 3745474589.

It is an arithmetic number, because the mean of its divisors is an integer number (589680000).

Almost surely, 2^220982999040 is an apocalyptic number.

220982999040 is a gapful number since it is divisible by the number (20) 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 220982999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452874240000).

220982999040 is an abundant number, since it is smaller than the sum of its proper divisors (684765480960).

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

220982999040 is a wasteful number, since it uses less digits than its factorization.

220982999040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 220982999040 in words is "two hundred twenty billion, nine hundred eighty-two million, nine hundred ninety-nine thousand, forty".