42365197737792 has 224 divisors, whose sum is σ = 127122334934400. Its totient is φ = 13832560152576.

The previous prime is 42365197737791. The next prime is 42365197737847. The reversal of 42365197737792 is 29773779156324.

42365197737792 is a `hidden beast` number, since 4 + 2 + 3 + 6 + 519 + 7 + 7 + 37 + 79 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42365197737792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42365197737791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15168498 + ... + 17742990.

Almost surely, 2^{42365197737792} 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 42365197737792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63561167467200).

42365197737792 is an abundant number, since it is smaller than the sum of its proper divisors (84757137196608).

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

42365197737792 is a wasteful number, since it uses less digits than its factorization.

42365197737792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574710 (or 2574694 counting only the distinct ones).

The product of its digits is 840157920, while the sum is 72.

The spelling of 42365197737792 in words is "forty-two trillion, three hundred sixty-five billion, one hundred ninety-seven million, seven hundred thirty-seven thousand, seven hundred ninety-two".