42681135744 has 192 divisors, whose sum is σ = 134765172360. Its totient is φ = 12884631552.

The previous prime is 42681135727. The next prime is 42681135767. The reversal of 42681135744 is 44753118624.

42681135744 is a `hidden beast` number, since 4 + 2 + 68 + 1 + 13 + 574 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36983905344 + 5697230400 = 192312^2 + 75480^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 42681135744.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 766842 + ... + 820614.

Almost surely, 2^42681135744 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 42681135744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67382586180).

42681135744 is an abundant number, since it is smaller than the sum of its proper divisors (92084036616).

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

42681135744 is a wasteful number, since it uses less digits than its factorization.

42681135744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53859 (or 53844 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 42681135744 in words is "forty-two billion, six hundred eighty-one million, one hundred thirty-five thousand, seven hundred forty-four".