4287442332096 has 2240 divisors, whose sum is σ = 17348728320000. Its totient is φ = 1034800220160.

The previous prime is 4287442332053. The next prime is 4287442332097. The reversal of 4287442332096 is 6902332447824.

4287442332096 is a `hidden beast` number, since 4 + 2 + 8 + 7 + 4 + 423 + 3 + 209 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4287442332097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 30844908795 + ... + 30844908933.

It is an arithmetic number, because the mean of its divisors is an integer number (7744968000).

Almost surely, 2^{4287442332096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4287442332096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8674364160000).

4287442332096 is an abundant number, since it is smaller than the sum of its proper divisors (13061285987904).

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

4287442332096 is a wasteful number, since it uses less digits than its factorization.

4287442332096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 4287442332096 in words is "four trillion, two hundred eighty-seven billion, four hundred forty-two million, three hundred thirty-two thousand, ninety-six".