4402338477600 has 864 divisors, whose sum is σ = 17110126756800. Its totient is φ = 979950182400.

The previous prime is 4402338477599. The next prime is 4402338477619. The reversal of 4402338477600 is 67748332044.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4402338477600.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 756282690 + ... + 756288510.

It is an arithmetic number, because the mean of its divisors is an integer number (19803387450).

Almost surely, 2^{4402338477600} is an apocalyptic number.

4402338477600 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 4402338477600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8555063378400).

4402338477600 is an abundant number, since it is smaller than the sum of its proper divisors (12707788279200).

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

4402338477600 is a wasteful number, since it uses less digits than its factorization.

4402338477600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6026 (or 6006 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 48.

The spelling of 4402338477600 in words is "four trillion, four hundred two billion, three hundred thirty-eight million, four hundred seventy-seven thousand, six hundred".