4042421579952 has 320 divisors, whose sum is σ = 13626117872640. Its totient is φ = 1123195797504.

The previous prime is 4042421579927. The next prime is 4042421579971. The reversal of 4042421579952 is 2599751242404.

4042421579952 is a `hidden beast` number, since 4 + 0 + 42 + 4 + 21 + 579 + 9 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 253642128 + ... + 253658064.

It is an arithmetic number, because the mean of its divisors is an integer number (42581618352).

Almost surely, 2^{4042421579952} is an apocalyptic number.

4042421579952 is a gapful number since it is divisible by the number (42) 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 4042421579952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6813058936320).

4042421579952 is an abundant number, since it is smaller than the sum of its proper divisors (9583696292688).

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

4042421579952 is a wasteful number, since it uses less digits than its factorization.

4042421579952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18265 (or 18253 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 4042421579952 in words is "four trillion, forty-two billion, four hundred twenty-one million, five hundred seventy-nine thousand, nine hundred fifty-two".