42272930695168 has 96 divisors (see below), whose sum is σ = 86761859184000. Its totient is φ = 20581735186432.

The previous prime is 42272930695157. The next prime is 42272930695211. The reversal of 42272930695168 is 86159603927224.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17847783 + ... + 20077081.

It is an arithmetic number, because the mean of its divisors is an integer number (903769366500).

It is a 1-persistent number, because it is pandigital, but 2⋅42272930695168 = 84545861390336 is not.

Almost surely, 2^{42272930695168} 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 42272930695168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43380929592000).

42272930695168 is an abundant number, since it is smaller than the sum of its proper divisors (44488928488832).

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

42272930695168 is a wasteful number, since it uses less digits than its factorization.

42272930695168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2229565 (or 2229545 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 64.

The spelling of 42272930695168 in words is "forty-two trillion, two hundred seventy-two billion, nine hundred thirty million, six hundred ninety-five thousand, one hundred sixty-eight".