42044790864960 has 896 divisors, whose sum is σ = 162312517355520. Its totient is φ = 10310692331520.

The previous prime is 42044790864953. The next prime is 42044790864971. The reversal of 42044790864960 is 6946809744024.

42044790864960 is a `hidden beast` number, since 4 + 2 + 0 + 447 + 90 + 8 + 6 + 49 + 60 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2465527794 + ... + 2465544846.

It is an arithmetic number, because the mean of its divisors is an integer number (181152363120).

Almost surely, 2^{42044790864960} is an apocalyptic number.

42044790864960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42044790864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81156258677760).

42044790864960 is an abundant number, since it is smaller than the sum of its proper divisors (120267726490560).

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

42044790864960 is a wasteful number, since it uses less digits than its factorization.

42044790864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17375 (or 17347 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 42044790864960 in words is "forty-two trillion, forty-four billion, seven hundred ninety million, eight hundred sixty-four thousand, nine hundred sixty".