1607442234128 has 20 divisors (see below), whose sum is σ = 3146526747420. Its totient is φ = 795435331584.

The previous prime is 1607442234113. The next prime is 1607442234143. The reversal of 1607442234128 is 8214322447061.

It is an interprime number because it is at equal distance from previous prime (1607442234113) and next prime (1607442234143).

It can be written as a sum of positive squares in 2 ways, for example, as 1217906473744 + 389535760384 = 1103588^2 + 624128^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 517859993 + ... + 517863096.

It is an arithmetic number, because the mean of its divisors is an integer number (157326337371).

Almost surely, 2^{1607442234128} is an apocalyptic number.

It is an amenable number.

1607442234128 is a deficient number, since it is larger than the sum of its proper divisors (1539084513292).

1607442234128 is a wasteful number, since it uses less digits than its factorization.

1607442234128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035723194 (or 1035723188 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 44.

The spelling of 1607442234128 in words is "one trillion, six hundred seven billion, four hundred forty-two million, two hundred thirty-four thousand, one hundred twenty-eight".