42074704263672 has 256 divisors, whose sum is σ = 120613173120000. Its totient is φ = 13582125494784.

The previous prime is 42074704263659. The next prime is 42074704263799. The reversal of 42074704263672 is 27636240747024.

42074704263672 is a `hidden beast` number, since 4 + 2 + 0 + 7 + 470 + 42 + 63 + 6 + 72 = 666.

42074704263672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 770811693 + ... + 770866275.

It is an arithmetic number, because the mean of its divisors is an integer number (471145207500).

Almost surely, 2^{42074704263672} 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 42074704263672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60306586560000).

42074704263672 is an abundant number, since it is smaller than the sum of its proper divisors (78538468856328).

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

42074704263672 is a wasteful number, since it uses less digits than its factorization.

42074704263672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55347 (or 55337 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 54.

The spelling of 42074704263672 in words is "forty-two trillion, seventy-four billion, seven hundred four million, two hundred sixty-three thousand, six hundred seventy-two".