42003682704 has 75 divisors (see below), whose sum is σ = 121592202193. Its totient is φ = 13998768192.

The previous prime is 42003682673. The next prime is 42003682751. The reversal of 42003682704 is 40728630024.

The square root of 42003682704 is 204948.

It is a perfect power (a square), and thus also a powerful number.

42003682704 is a `hidden beast` number, since 4 + 20 + 0 + 368 + 270 + 4 = 666.

42003682704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5158112400 + 36845570304 = 71820^2 + 191952^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7375282 + ... + 7380974.

Almost surely, 2^42003682704 is an apocalyptic number.

42003682704 is the 204948-th square number.

It is an amenable number.

42003682704 is an abundant number, since it is smaller than the sum of its proper divisors (79588519489).

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

42003682704 is an frugal number, since it uses more digits than its factorization.

42003682704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11406 (or 5698 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Multiplying 42003682704 by its sum of digits (36), we get a square (1512132577344 = 1229688²).

42003682704 divided by its sum of digits (36) gives a square (1166768964 = 34158²).

The spelling of 42003682704 in words is "forty-two billion, three million, six hundred eighty-two thousand, seven hundred four".