19940341942521 has 243 divisors, whose sum is σ = 39905709313743. Its totient is φ = 9555372066240.

The previous prime is 19940341942501. The next prime is 19940341942531. The reversal of 19940341942521 is 12524914304991.

The square root of 19940341942521 is 4465461.

It is a perfect power (a square), and thus also a powerful number.

19940341942521 is a `hidden beast` number, since 1 + 9 + 9 + 40 + 34 + 1 + 9 + 42 + 521 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2949754725225 + 16990587217296 = 1717485^2 + 4121964^2 .

It is not a de Polignac number, because 19940341942521 - 2¹¹ = 19940341940473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (19940341942501) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 13409778640 + ... + 13409780126.

Almost surely, 2^{19940341942521} is an apocalyptic number.

19940341942521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

19940341942521 is the 4465461-st square number.

19940341942521 is the 2232731-st centered octagonal number.

It is an amenable number.

19940341942521 is an abundant number, since it is smaller than the sum of its proper divisors (19965367371222).

19940341942521 is a wasteful number, since it uses less digits than its factorization.

19940341942521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3042 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 19940341942521 in words is "nineteen trillion, nine hundred forty billion, three hundred forty-one million, nine hundred forty-two thousand, five hundred twenty-one".