452290038642 has 288 divisors, whose sum is σ = 1111574161152. Its totient is φ = 132760083456.

The previous prime is 452290038521. The next prime is 452290038661. The reversal of 452290038642 is 246830092254.

452290038642 is a `hidden beast` number, since 4 + 5 + 229 + 0 + 0 + 386 + 42 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 976868103 + ... + 976868565.

It is an arithmetic number, because the mean of its divisors is an integer number (3859632504).

Almost surely, 2^452290038642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452290038642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555787080576).

452290038642 is an abundant number, since it is smaller than the sum of its proper divisors (659284122510).

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

452290038642 is a wasteful number, since it uses less digits than its factorization.

452290038642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 452290038642 in words is "four hundred fifty-two billion, two hundred ninety million, thirty-eight thousand, six hundred forty-two".