442288268904960 has 640 divisors, whose sum is σ = 1584045464601600. Its totient is φ = 116971105812480.

The previous prime is 442288268904943. The next prime is 442288268904983. The reversal of 442288268904960 is 69409862882244.

442288268904960 is a `hidden beast` number, since 4 + 4 + 2 + 28 + 8 + 26 + 8 + 90 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4591386076 + ... + 4591482404.

It is an arithmetic number, because the mean of its divisors is an integer number (2475071038440).

Almost surely, 2^{442288268904960} is an apocalyptic number.

442288268904960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442288268904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792022732300800).

442288268904960 is an abundant number, since it is smaller than the sum of its proper divisors (1141757195696640).

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

442288268904960 is a wasteful number, since it uses less digits than its factorization.

442288268904960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96909 (or 96887 counting only the distinct ones).

The product of its (nonzero) digits is 764411904, while the sum is 72.

The spelling of 442288268904960 in words is "four hundred forty-two trillion, two hundred eighty-eight billion, two hundred sixty-eight million, nine hundred four thousand, nine hundred sixty".