42849828004 has 81 divisors (see below), whose sum is σ = 80479723233. Its totient is φ = 19961616864.

The previous prime is 42849827947. The next prime is 42849828019. The reversal of 42849828004 is 40082894824.

It is a happy number.

The square root of 42849828004 is 207002.

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

42849828004 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., 22469410404 + 20380417600 = 149898^2 + 142760^2 .

It is a super-2 number, since 2×42849828004² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 516262947 + ... + 516263029.

Almost surely, 2^42849828004 is an apocalyptic number.

42849828004 is the 207002-nd square number.

It is an amenable number.

42849828004 is a deficient number, since it is larger than the sum of its proper divisors (37629895229).

42849828004 is an equidigital number, since it uses as much as digits as its factorization.

42849828004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 49.

Multiplying 42849828004 by its sum of digits (49), we get a square (2099641572196 = 1449014²).

The spelling of 42849828004 in words is "forty-two billion, eight hundred forty-nine million, eight hundred twenty-eight thousand, four".