42917791617792 has 2880 divisors, whose sum is σ = 170881968660480. Its totient is φ = 10405557043200.

The previous prime is 42917791617773. The next prime is 42917791617797. The reversal of 42917791617792 is 29771619771924.

42917791617792 is a `hidden beast` number, since 4 + 291 + 7 + 79 + 16 + 177 + 92 = 666.

It is a super-2 number, since 2×42917791617792² (a number of 28 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42917791617792.

It is not an unprimeable number, because it can be changed into a prime (42917791617797) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 158368234617 + ... + 158368234887.

It is an arithmetic number, because the mean of its divisors is an integer number (59334016896).

Almost surely, 2^{42917791617792} is an apocalyptic number.

42917791617792 is a gapful number since it is divisible by the number (42) 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 42917791617792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85440984330240).

42917791617792 is an abundant number, since it is smaller than the sum of its proper divisors (127964177042688).

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

42917791617792 is a wasteful number, since it uses less digits than its factorization.

42917791617792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 449 counting only the distinct ones).

The product of its digits is 168031584, while the sum is 72.

The spelling of 42917791617792 in words is "forty-two trillion, nine hundred seventeen billion, seven hundred ninety-one million, six hundred seventeen thousand, seven hundred ninety-two".