42147663120 has 100 divisors (see below), whose sum is σ = 146385100620. Its totient is φ = 11239375104.

The previous prime is 42147663119. The next prime is 42147663137. The reversal of 42147663120 is 2136674124.

42147663120 is a `hidden beast` number, since 4 + 2 + 1 + 476 + 63 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17011463184 + 25136199936 = 130428^2 + 158544^2 .

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 3245655 + ... + 3258614.

Almost surely, 2^42147663120 is an apocalyptic number.

42147663120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42147663120 is an abundant number, since it is smaller than the sum of its proper divisors (104237437500).

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

42147663120 is a wasteful number, since it uses less digits than its factorization.

42147663120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6504294 (or 6504279 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 42147663120 in words is "forty-two billion, one hundred forty-seven million, six hundred sixty-three thousand, one hundred twenty".