42121752870912 has 864 divisors, whose sum is σ = 137330887639680. Its totient is φ = 11370296770560.

The previous prime is 42121752870893. The next prime is 42121752870947. The reversal of 42121752870912 is 21907825712124.

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, 21198666783 + ... + 21198668769.

It is an arithmetic number, because the mean of its divisors is an integer number (158947786620).

Almost surely, 2^{42121752870912} 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 42121752870912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68665443819840).

42121752870912 is an abundant number, since it is smaller than the sum of its proper divisors (95209134768768).

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

42121752870912 is a wasteful number, since it uses less digits than its factorization.

42121752870912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 51.

The spelling of 42121752870912 in words is "forty-two trillion, one hundred twenty-one billion, seven hundred fifty-two million, eight hundred seventy thousand, nine hundred twelve".