42304805070444 has 288 divisors, whose sum is σ = 126492555571200. Its totient is φ = 11669352791040.

The previous prime is 42304805070439. The next prime is 42304805070469. The reversal of 42304805070444 is 44407050840324.

42304805070444 is a `hidden beast` number, since 4 + 23 + 0 + 4 + 80 + 507 + 0 + 4 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 42304805070444.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 626156737 + ... + 626224295.

It is an arithmetic number, because the mean of its divisors is an integer number (439210262400).

Almost surely, 2^{42304805070444} 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 42304805070444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63246277785600).

42304805070444 is an abundant number, since it is smaller than the sum of its proper divisors (84187750500756).

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

42304805070444 is a wasteful number, since it uses less digits than its factorization.

42304805070444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68133 (or 68128 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 45.

The spelling of 42304805070444 in words is "forty-two trillion, three hundred four billion, eight hundred five million, seventy thousand, four hundred forty-four".