4242042577920 has 704 divisors, whose sum is σ = 15932564121600. Its totient is φ = 943093186560.

The previous prime is 4242042577849. The next prime is 4242042577931. The reversal of 4242042577920 is 297752402424.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4242042577920.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1670752011 + ... + 1670754549.

Almost surely, 2^{4242042577920} is an apocalyptic number.

4242042577920 is a gapful number since it is divisible by the number (40) 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 4242042577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7966282060800).

4242042577920 is an abundant number, since it is smaller than the sum of its proper divisors (11690521543680).

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

4242042577920 is a wasteful number, since it uses less digits than its factorization.

4242042577920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2994 (or 2976 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 4242042577920 in words is "four trillion, two hundred forty-two billion, forty-two million, five hundred seventy-seven thousand, nine hundred twenty".