20344142224000 has 512 divisors, whose sum is σ = 59056560576000. Its totient is φ = 6966812160000.

The previous prime is 20344142223983. The next prime is 20344142224027. The reversal of 20344142224000 is 42224144302.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 20344142224000.

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, 6163022350 + ... + 6163025650.

It is an arithmetic number, because the mean of its divisors is an integer number (115344844875).

Almost surely, 2^{20344142224000} is an apocalyptic number.

20344142224000 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 20344142224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29528280288000).

20344142224000 is an abundant number, since it is smaller than the sum of its proper divisors (38712418352000).

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

20344142224000 is an equidigital number, since it uses as much as digits as its factorization.

20344142224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4474 (or 4438 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 20344142224000 its reverse (42224144302), we get a palindrome (20386366368302).

The spelling of 20344142224000 in words is "twenty trillion, three hundred forty-four billion, one hundred forty-two million, two hundred twenty-four thousand".