42160600984320 has 1440 divisors, whose sum is σ = 189177288676992. Its totient is φ = 8727481810944.

The previous prime is 42160600984309. The next prime is 42160600984349. The reversal of 42160600984320 is 2348900606124.

42160600984320 is a `hidden beast` number, since 4 + 2 + 1 + 6 + 0 + 600 + 9 + 8 + 4 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 500006484 + ... + 500090796.

Almost surely, 2^{42160600984320} is an apocalyptic number.

42160600984320 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 42160600984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94588644338496).

42160600984320 is an abundant number, since it is smaller than the sum of its proper divisors (147016687692672).

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

42160600984320 is a wasteful number, since it uses less digits than its factorization.

42160600984320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84419 (or 84396 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 42160600984320 in words is "forty-two trillion, one hundred sixty billion, six hundred million, nine hundred eighty-four thousand, three hundred twenty".