42147506304 has 384 divisors, whose sum is σ = 131802914880. Its totient is φ = 13392138240.

The previous prime is 42147506281. The next prime is 42147506339. The reversal of 42147506304 is 40360574124.

42147506304 is a `hidden beast` number, since 4 + 2 + 14 + 7 + 5 + 0 + 630 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60994599 + ... + 60995289.

Almost surely, 2^42147506304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42147506304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65901457440).

42147506304 is an abundant number, since it is smaller than the sum of its proper divisors (89655408576).

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

42147506304 is an equidigital number, since it uses as much as digits as its factorization.

42147506304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 42147506304 in words is "forty-two billion, one hundred forty-seven million, five hundred six thousand, three hundred four".