42097334275584 has 480 divisors, whose sum is σ = 146083400438976. Its totient is φ = 11417288048640.

The previous prime is 42097334275561. The next prime is 42097334275643. The reversal of 42097334275584 is 48557243379024.

It is a happy number.

42097334275584 is a `hidden beast` number, since 4 + 2 + 0 + 9 + 7 + 3 + 3 + 42 + 7 + 5 + 584 = 666.

It is a super-2 number, since 2×42097334275584² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

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, 48502194 + ... + 49362510.

Almost surely, 2^{42097334275584} 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 42097334275584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73041700219488).

42097334275584 is an abundant number, since it is smaller than the sum of its proper divisors (103986066163392).

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

42097334275584 is a wasteful number, since it uses less digits than its factorization.

42097334275584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860426 (or 860407 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 63.

The spelling of 42097334275584 in words is "forty-two trillion, ninety-seven billion, three hundred thirty-four million, two hundred seventy-five thousand, five hundred eighty-four".