42799605120 has 256 divisors, whose sum is σ = 151854091200. Its totient is φ = 11392745472.

The previous prime is 42799605109. The next prime is 42799605157. The reversal of 42799605120 is 2150699724.

42799605120 is a `hidden beast` number, since 4 + 2 + 79 + 9 + 60 + 512 + 0 = 666.

It is a super-3 number, since 3×42799605120³ (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11281944 + ... + 11285736.

Almost surely, 2^42799605120 is an apocalyptic number.

42799605120 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 42799605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75927045600).

42799605120 is an abundant number, since it is smaller than the sum of its proper divisors (109054486080).

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

42799605120 is a wasteful number, since it uses less digits than its factorization.

42799605120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4474 (or 4456 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 42799605120 in words is "forty-two billion, seven hundred ninety-nine million, six hundred five thousand, one hundred twenty".