442731339957124 has 81 divisors (see below), whose sum is σ = 838875417330223. Its totient is φ = 204426697862464.

The previous prime is 442731339957097. The next prime is 442731339957161. The reversal of 442731339957124 is 421759933137244.

The square root of 442731339957124 is 21041182.

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 5420934324100 + 437310405633024 = 2328290^2 + 20911968^2 .

It is a super-3 number, since 3×442731339957124³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 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, 28068928902 + ... + 28068944674.

Almost surely, 2^{442731339957124} is an apocalyptic number.

442731339957124 is the 21041182-nd square number.

It is an amenable number.

442731339957124 is a deficient number, since it is larger than the sum of its proper divisors (396144077373099).

442731339957124 is an frugal number, since it uses more digits than its factorization.

442731339957124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31654 (or 15827 counting only the distinct ones).

The product of its digits is 137168640, while the sum is 64.

The spelling of 442731339957124 in words is "four hundred forty-two trillion, seven hundred thirty-one billion, three hundred thirty-nine million, nine hundred fifty-seven thousand, one hundred twenty-four".