20941934974128 has 1600 divisors, whose sum is σ = 75917316980736. Its totient is φ = 5446434816000.

The previous prime is 20941934974123. The next prime is 20941934974217. The reversal of 20941934974128 is 82147943914902.

20941934974128 is a `hidden beast` number, since 2 + 0 + 9 + 4 + 19 + 3 + 497 + 4 + 128 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (20941934974123) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 81486128176 + ... + 81486128432.

Almost surely, 2^{20941934974128} is an apocalyptic number.

20941934974128 is a gapful number since it is divisible by the number (28) 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 20941934974128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37958658490368).

20941934974128 is an abundant number, since it is smaller than the sum of its proper divisors (54975382006608).

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

20941934974128 is a wasteful number, since it uses less digits than its factorization.

20941934974128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 20941934974128 in words is "twenty trillion, nine hundred forty-one billion, nine hundred thirty-four million, nine hundred seventy-four thousand, one hundred twenty-eight".