442300239240 has 512 divisors, whose sum is σ = 1464832512000. Its totient is φ = 106447343616.

The previous prime is 442300239229. The next prime is 442300239253. The reversal of 442300239240 is 42932003244.

It is a super-2 number, since 2×442300239240² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 947109487 + ... + 947109953.

It is an arithmetic number, because the mean of its divisors is an integer number (2861001000).

Almost surely, 2^442300239240 is an apocalyptic number.

442300239240 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 442300239240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732416256000).

442300239240 is an abundant number, since it is smaller than the sum of its proper divisors (1022532272760).

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

442300239240 is a wasteful number, since it uses less digits than its factorization.

442300239240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 442300239240 in words is "four hundred forty-two billion, three hundred million, two hundred thirty-nine thousand, two hundred forty".