42192669960 has 640 divisors, whose sum is σ = 171870336000. Its totient is φ = 9068806656.

The previous prime is 42192669929. The next prime is 42192669977. The reversal of 42192669960 is 6996629124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 42192669897 and 42192669906.

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, 77134407 + ... + 77134953.

It is an arithmetic number, because the mean of its divisors is an integer number (268547400).

Almost surely, 2^42192669960 is an apocalyptic number.

42192669960 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 42192669960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85935168000).

42192669960 is an abundant number, since it is smaller than the sum of its proper divisors (129677666040).

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

42192669960 is a wasteful number, since it uses less digits than its factorization.

42192669960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 42192669960 in words is "forty-two billion, one hundred ninety-two million, six hundred sixty-nine thousand, nine hundred sixty".