42738134773824 has 280 divisors, whose sum is σ = 153304604703360. Its totient is φ = 11492607504384.

The previous prime is 42738134773819. The next prime is 42738134773837. The reversal of 42738134773824 is 42837743183724.

42738134773824 is a `hidden beast` number, since 4 + 2 + 7 + 3 + 81 + 3 + 477 + 3 + 82 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34022764 + ... + 35256555.

Almost surely, 2^{42738134773824} is an apocalyptic number.

It is an amenable number.

42738134773824 is an abundant number, since it is smaller than the sum of its proper divisors (110566469929536).

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

42738134773824 is a wasteful number, since it uses less digits than its factorization.

42738134773824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69279367 (or 69279348 counting only the distinct ones).

The product of its digits is 151732224, while the sum is 63.

The spelling of 42738134773824 in words is "forty-two trillion, seven hundred thirty-eight billion, one hundred thirty-four million, seven hundred seventy-three thousand, eight hundred twenty-four".