42168107520 has 1600 divisors, whose sum is σ = 199637222400. Its totient is φ = 8241315840.

The previous prime is 42168107503. The next prime is 42168107549. The reversal of 42168107520 is 2570186124.

42168107520 is a `hidden beast` number, since 4 + 21 + 6 + 8 + 107 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 303367611 + ... + 303367749.

It is an arithmetic number, because the mean of its divisors is an integer number (124773264).

Almost surely, 2^42168107520 is an apocalyptic number.

42168107520 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 42168107520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99818611200).

42168107520 is an abundant number, since it is smaller than the sum of its proper divisors (157469114880).

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

42168107520 is a wasteful number, since it uses less digits than its factorization.

42168107520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 42168107520 in words is "forty-two billion, one hundred sixty-eight million, one hundred seven thousand, five hundred twenty".