42329389258816 has 189 divisors, whose sum is σ = 98100771982087. Its totient is φ = 18104665722880.

The previous prime is 42329389258777. The next prime is 42329389258831. The reversal of 42329389258816 is 61885298392324.

The square root of 42329389258816 is 6506104.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4699703694400 + 37629685564416 = 2167880^2 + 6134304^2 .

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, 9733129410 + ... + 9733133758.

Almost surely, 2^{42329389258816} is an apocalyptic number.

42329389258816 is the 6506104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42329389258816

42329389258816 is an abundant number, since it is smaller than the sum of its proper divisors (55771382723271).

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

42329389258816 is an frugal number, since it uses more digits than its factorization.

42329389258816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8766 (or 4379 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 70.

The spelling of 42329389258816 in words is "forty-two trillion, three hundred twenty-nine billion, three hundred eighty-nine million, two hundred fifty-eight thousand, eight hundred sixteen".