20214054342720 has 3360 divisors, whose sum is σ = 93089601008640. Its totient is φ = 4110425948160.

The previous prime is 20214054342719. The next prime is 20214054342721. The reversal of 20214054342720 is 2724345041202.

20214054342720 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 4 + 0 + 543 + 42 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20214054342719) and next prime (20214054342721).

It is a tau number, because it is divible by the number of its divisors (3360).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (20214054342721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 470094287019 + ... + 470094287061.

Almost surely, 2^{20214054342720} is an apocalyptic number.

20214054342720 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 20214054342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46544800504320).

20214054342720 is an abundant number, since it is smaller than the sum of its proper divisors (72875546665920).

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

20214054342720 is an equidigital number, since it uses as much as digits as its factorization.

20214054342720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

Adding to 20214054342720 its reverse (2724345041202), we get a palindrome (22938399383922).

The spelling of 20214054342720 in words is "twenty trillion, two hundred fourteen billion, fifty-four million, three hundred forty-two thousand, seven hundred twenty".