42145406556 has 48 divisors (see below), whose sum is σ = 107523736320. Its totient is φ = 12742225920.

The previous prime is 42145406543. The next prime is 42145406579. The reversal of 42145406556 is 65560454124.

It is a super-2 number, since 2×42145406556² (a number of 22 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, 305701 + ... + 421596.

It is an arithmetic number, because the mean of its divisors is an integer number (2240077840).

Almost surely, 2^42145406556 is an apocalyptic number.

It is an amenable number.

42145406556 is an abundant number, since it is smaller than the sum of its proper divisors (65378329764).

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

42145406556 is a wasteful number, since it uses less digits than its factorization.

42145406556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727754 (or 727752 counting only the distinct ones).

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

The spelling of 42145406556 in words is "forty-two billion, one hundred forty-five million, four hundred six thousand, five hundred fifty-six".