4342821435904 has 240 divisors, whose sum is σ = 10180820707200. Its totient is φ = 1845241896960.

The previous prime is 4342821435863. The next prime is 4342821435917. The reversal of 4342821435904 is 4095341282434.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1552669834 + ... + 1552672630.

It is an arithmetic number, because the mean of its divisors is an integer number (42420086280).

Almost surely, 2^{4342821435904} 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 4342821435904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5090410353600).

4342821435904 is an abundant number, since it is smaller than the sum of its proper divisors (5837999271296).

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

4342821435904 is a wasteful number, since it uses less digits than its factorization.

4342821435904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3339 (or 3316 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 49.

The spelling of 4342821435904 in words is "four trillion, three hundred forty-two billion, eight hundred twenty-one million, four hundred thirty-five thousand, nine hundred four".