42717969468720 has 2800 divisors, whose sum is σ = 193371931237632. Its totient is φ = 8710757314560.

The previous prime is 42717969468703. The next prime is 42717969468731. The reversal of 42717969468720 is 2786496971724.

42717969468720 is a `hidden beast` number, since 4 + 2 + 7 + 1 + 7 + 96 + 9 + 468 + 72 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 559 ways as a sum of consecutive naturals, for example, 56430606582 + ... + 56430607338.

Almost surely, 2^{42717969468720} is an apocalyptic number.

42717969468720 is a gapful number since it is divisible by the number (40) 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 42717969468720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96685965618816).

42717969468720 is an abundant number, since it is smaller than the sum of its proper divisors (150653961768912).

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

42717969468720 is an equidigital number, since it uses as much as digits as its factorization.

42717969468720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 42717969468720 in words is "forty-two trillion, seven hundred seventeen billion, nine hundred sixty-nine million, four hundred sixty-eight thousand, seven hundred twenty".