4402828400432 has 160 divisors (see below), whose sum is σ = 10756821233664. Its totient is φ = 1695870086400.

The previous prime is 4402828400429. The next prime is 4402828400437. The reversal of 4402828400432 is 2340048282044.

It is a self number, because there is not a number n which added to its sum of digits gives 4402828400432.

It is not an unprimeable number, because it can be changed into a prime (4402828400437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64691573 + ... + 64759595.

Almost surely, 2^{4402828400432} 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 4402828400432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5378410616832).

4402828400432 is an abundant number, since it is smaller than the sum of its proper divisors (6353992833232).

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

4402828400432 is a wasteful number, since it uses less digits than its factorization.

4402828400432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68647 (or 68641 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 41.

The spelling of 4402828400432 in words is "four trillion, four hundred two billion, eight hundred twenty-eight million, four hundred thousand, four hundred thirty-two".