20446214199840 has 576 divisors, whose sum is σ = 84797333187840. Its totient is φ = 4417603706880.

The previous prime is 20446214199781. The next prime is 20446214199841. The reversal of 20446214199840 is 4899141264402.

20446214199840 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 621 + 4 + 1 + 9 + 9 + 8 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (20446214199841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4259749 + ... + 7683611.

It is an arithmetic number, because the mean of its divisors is an integer number (147217592340).

Almost surely, 2^{20446214199840} is an apocalyptic number.

20446214199840 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 20446214199840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42398666593920).

20446214199840 is an abundant number, since it is smaller than the sum of its proper divisors (64351118988000).

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

20446214199840 is a wasteful number, since it uses less digits than its factorization.

20446214199840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3423937 (or 3423926 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 20446214199840 in words is "twenty trillion, four hundred forty-six billion, two hundred fourteen million, one hundred ninety-nine thousand, eight hundred forty".