42015197600 has 144 divisors (see below), whose sum is σ = 104100837120. Its totient is φ = 16556390400.

The previous prime is 42015197561. The next prime is 42015197603. The reversal of 42015197600 is 679151024.

It is not an unprimeable number, because it can be changed into a prime (42015197603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31804940 + ... + 31806260.

It is an arithmetic number, because the mean of its divisors is an integer number (722922480).

Almost surely, 2^42015197600 is an apocalyptic number.

42015197600 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 42015197600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52050418560).

42015197600 is an abundant number, since it is smaller than the sum of its proper divisors (62085639520).

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

42015197600 is a wasteful number, since it uses less digits than its factorization.

42015197600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The spelling of 42015197600 in words is "forty-two billion, fifteen million, one hundred ninety-seven thousand, six hundred".