42010152242656 has 96 divisors (see below), whose sum is σ = 92068268882688. Its totient is φ = 18738236805120.

The previous prime is 42010152242599. The next prime is 42010152242689. The reversal of 42010152242656 is 65624225101024.

It is a super-2 number, since 2×42010152242656² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 7230660 + ... + 11674876.

It is an arithmetic number, because the mean of its divisors is an integer number (959044467528).

Almost surely, 2^{42010152242656} 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 42010152242656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46034134441344).

42010152242656 is an abundant number, since it is smaller than the sum of its proper divisors (50058116640032).

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

42010152242656 is a wasteful number, since it uses less digits than its factorization.

42010152242656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4445004 (or 4444996 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 42010152242656 in words is "forty-two trillion, ten billion, one hundred fifty-two million, two hundred forty-two thousand, six hundred fifty-six".