42766939741824 has 384 divisors, whose sum is σ = 131628220214400. Its totient is φ = 13295259648000.

The previous prime is 42766939741807. The next prime is 42766939741853. The reversal of 42766939741824 is 42814793966724.

42766939741824 is a `hidden beast` number, since 4 + 276 + 6 + 93 + 97 + 4 + 182 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×42766939741824² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1956480207 + ... + 1956502065.

It is an arithmetic number, because the mean of its divisors is an integer number (342781823475).

Almost surely, 2^{42766939741824} 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 42766939741824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65814110107200).

42766939741824 is an abundant number, since it is smaller than the sum of its proper divisors (88861280472576).

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

42766939741824 is a wasteful number, since it uses less digits than its factorization.

42766939741824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23744 (or 23729 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 72.

The spelling of 42766939741824 in words is "forty-two trillion, seven hundred sixty-six billion, nine hundred thirty-nine million, seven hundred forty-one thousand, eight hundred twenty-four".