42942903846912 has 480 divisors, whose sum is σ = 135383821372800. Its totient is φ = 13524190396416.

The previous prime is 42942903846901. The next prime is 42942903846917. The reversal of 42942903846912 is 21964830924924.

42942903846912 is a `hidden beast` number, since 4 + 2 + 9 + 42 + 90 + 38 + 469 + 12 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 42942903846912.

It is not an unprimeable number, because it can be changed into a prime (42942903846917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1175629993 + ... + 1175666519.

It is an arithmetic number, because the mean of its divisors is an integer number (282049627860).

Almost surely, 2^{42942903846912} 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 42942903846912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67691910686400).

42942903846912 is an abundant number, since it is smaller than the sum of its proper divisors (92440917525888).

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

42942903846912 is a wasteful number, since it uses less digits than its factorization.

42942903846912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36953 (or 36924 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 42942903846912 in words is "forty-two trillion, nine hundred forty-two billion, nine hundred three million, eight hundred forty-six thousand, nine hundred twelve".