42434159625 has 192 divisors, whose sum is σ = 90403762176. Its totient is φ = 18878400000.

The previous prime is 42434159609. The next prime is 42434159633. The reversal of 42434159625 is 52695143424.

42434159625 is a `hidden beast` number, since 4 + 2 + 4 + 3 + 4 + 15 + 9 + 625 = 666.

It is not a de Polignac number, because 42434159625 - 2⁴ = 42434159609 is a prime.

It is a super-3 number, since 3×42434159625³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30726435 + ... + 30727815.

It is an arithmetic number, because the mean of its divisors is an integer number (470852928).

Almost surely, 2^42434159625 is an apocalyptic number.

42434159625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42434159625 is an abundant number, since it is smaller than the sum of its proper divisors (47969602551).

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

42434159625 is a wasteful number, since it uses less digits than its factorization.

42434159625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1604 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 42434159625 in words is "forty-two billion, four hundred thirty-four million, one hundred fifty-nine thousand, six hundred twenty-five".