442545120642720 has 192 divisors, whose sum is σ = 1553703303358080. Its totient is φ = 105224350629888.

The previous prime is 442545120642707. The next prime is 442545120642727. The reversal of 442545120642720 is 27246021545244.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 442545120642720.

It is not an unprimeable number, because it can be changed into a prime (442545120642727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1427041557 + ... + 1427351636.

It is an arithmetic number, because the mean of its divisors is an integer number (8092204704990).

Almost surely, 2^{442545120642720} is an apocalyptic number.

442545120642720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442545120642720 is an abundant number, since it is smaller than the sum of its proper divisors (1111158182715360).

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

442545120642720 is a wasteful number, since it uses less digits than its factorization.

442545120642720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854393247 (or 2854393239 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 48.

The spelling of 442545120642720 in words is "four hundred forty-two trillion, five hundred forty-five billion, one hundred twenty million, six hundred forty-two thousand, seven hundred twenty".