442282680528516 has 36 divisors (see below), whose sum is σ = 1124454714769932. Its totient is φ = 146575377745344.

The previous prime is 442282680528499. The next prime is 442282680528527. The reversal of 442282680528516 is 615825086282244.

442282680528516 is a `hidden beast` number, since 4 + 4 + 2 + 2 + 8 + 2 + 68 + 0 + 52 + 8 + 516 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 218173696655616 + 224108983872900 = 14770704^2 + 14970270^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×442282680528516² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35507594971 + ... + 35507607426.

Almost surely, 2^{442282680528516} is an apocalyptic number.

It is an amenable number.

442282680528516 is an abundant number, since it is smaller than the sum of its proper divisors (682172034241416).

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

442282680528516 is a wasteful number, since it uses less digits than its factorization.

442282680528516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71015202580 (or 71015202575 counting only the distinct ones).

The product of its (nonzero) digits is 117964800, while the sum is 63.

The spelling of 442282680528516 in words is "four hundred forty-two trillion, two hundred eighty-two billion, six hundred eighty million, five hundred twenty-eight thousand, five hundred sixteen".