42199242624 has 320 divisors, whose sum is σ = 156575548800. Its totient is φ = 10960634880.

The previous prime is 42199242607. The next prime is 42199242697. The reversal of 42199242624 is 42624299124.

It is a happy number.

42199242624 is a `hidden beast` number, since 4 + 2 + 19 + 9 + 2 + 4 + 2 + 624 = 666.

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 42199242624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 771907 + ... + 824765.

It is an arithmetic number, because the mean of its divisors is an integer number (489298590).

Almost surely, 2^42199242624 is an apocalyptic number.

42199242624 is a gapful number since it is divisible by the number (44) 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 42199242624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78287774400).

42199242624 is an abundant number, since it is smaller than the sum of its proper divisors (114376306176).

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

42199242624 is a wasteful number, since it uses less digits than its factorization.

42199242624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52903 (or 52882 counting only the distinct ones).

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

The spelling of 42199242624 in words is "forty-two billion, one hundred ninety-nine million, two hundred forty-two thousand, six hundred twenty-four".