20024142334020 has 576 divisors, whose sum is σ = 69031655723520. Its totient is φ = 4815029007360.

The previous prime is 20024142334013. The next prime is 20024142334069. The reversal of 20024142334020 is 2043324142002.

20024142334020 is a `hidden beast` number, since 2 + 0 + 0 + 24 + 1 + 4 + 233 + 402 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7519391209 + ... + 7519393871.

It is an arithmetic number, because the mean of its divisors is an integer number (119846624520).

Almost surely, 2^{20024142334020} is an apocalyptic number.

20024142334020 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 20024142334020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34515827861760).

20024142334020 is an abundant number, since it is smaller than the sum of its proper divisors (49007513389500).

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

20024142334020 is a wasteful number, since it uses less digits than its factorization.

20024142334020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3593 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 20024142334020 its reverse (2043324142002), we get a palindrome (22067466476022).

The spelling of 20024142334020 in words is "twenty trillion, twenty-four billion, one hundred forty-two million, three hundred thirty-four thousand, twenty".