42861760115328 has 2304 divisors, whose sum is σ = 173682719683200. Its totient is φ = 10367336448000.

The previous prime is 42861760115303. The next prime is 42861760115347. The reversal of 42861760115328 is 82351106716824.

It is a happy number.

42861760115328 is a `hidden beast` number, since 4 + 2 + 8 + 6 + 1 + 7 + 601 + 1 + 5 + 3 + 28 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 28785600408 + ... + 28785601896.

Almost surely, 2^{42861760115328} is an apocalyptic number.

42861760115328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42861760115328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86841359841600).

42861760115328 is an abundant number, since it is smaller than the sum of its proper divisors (130820959567872).

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

42861760115328 is a wasteful number, since it uses less digits than its factorization.

42861760115328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 42861760115328 in words is "forty-two trillion, eight hundred sixty-one billion, seven hundred sixty million, one hundred fifteen thousand, three hundred twenty-eight".