20399242742208 has 336 divisors, whose sum is σ = 67684438688256. Its totient is φ = 5805385850880.

The previous prime is 20399242742107. The next prime is 20399242742231. The reversal of 20399242742208 is 80224724299302.

20399242742208 is a `hidden beast` number, since 2 + 0 + 3 + 9 + 9 + 2 + 427 + 4 + 2 + 208 = 666.

It is a super-2 number, since 2×20399242742208² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49666135 + ... + 50075177.

Almost surely, 2^{20399242742208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20399242742208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33842219344128).

20399242742208 is an abundant number, since it is smaller than the sum of its proper divisors (47285195946048).

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

20399242742208 is a wasteful number, since it uses less digits than its factorization.

20399242742208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409552 (or 409539 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 20399242742208 in words is "twenty trillion, three hundred ninety-nine billion, two hundred forty-two million, seven hundred forty-two thousand, two hundred eight".