4002349008896 has 192 divisors, whose sum is σ = 9282414960000. Its totient is φ = 1689764364288.

The previous prime is 4002349008839. The next prime is 4002349008943. The reversal of 4002349008896 is 6988009432004.

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 15 ways as a sum of consecutive naturals, for example, 1143853355 + ... + 1143856853.

It is an arithmetic number, because the mean of its divisors is an integer number (48345911250).

Almost surely, 2^{4002349008896} 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 4002349008896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4641207480000).

4002349008896 is an abundant number, since it is smaller than the sum of its proper divisors (5280065951104).

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

4002349008896 is a wasteful number, since it uses less digits than its factorization.

4002349008896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4694 (or 4674 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 53.

The spelling of 4002349008896 in words is "four trillion, two billion, three hundred forty-nine million, eight thousand, eight hundred ninety-six".