4042102525656 has 192 divisors, whose sum is σ = 11425868812800. Its totient is φ = 1188843042816.

The previous prime is 4042102525579. The next prime is 4042102525661. The reversal of 4042102525656 is 6565252012404.

It is a happy number.

It is a super-2 number, since 2×4042102525656² (a number of 26 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, 145422096 + ... + 145449888.

It is an arithmetic number, because the mean of its divisors is an integer number (59509733400).

Almost surely, 2^{4042102525656} is an apocalyptic number.

4042102525656 is a gapful number since it is divisible by the number (46) 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 4042102525656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5712934406400).

4042102525656 is an abundant number, since it is smaller than the sum of its proper divisors (7383766287144).

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

4042102525656 is a wasteful number, since it uses less digits than its factorization.

4042102525656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29410 (or 29393 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 4042102525656 in words is "four trillion, forty-two billion, one hundred two million, five hundred twenty-five thousand, six hundred fifty-six".