4442133220400 has 120 divisors (see below), whose sum is σ = 11071518475680. Its totient is φ = 1710720901120.

The previous prime is 4442133220387. The next prime is 4442133220411. The reversal of 4442133220400 is 40223312444.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3552389 + ... + 4637211.

It is an arithmetic number, because the mean of its divisors is an integer number (92262653964).

Almost surely, 2^{4442133220400} is an apocalyptic number.

4442133220400 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 4442133220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5535759237840).

4442133220400 is an abundant number, since it is smaller than the sum of its proper divisors (6629385255280).

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

4442133220400 is a wasteful number, since it uses less digits than its factorization.

4442133220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085223 (or 1085212 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 4442133220400 its reverse (40223312444), we get a palindrome (4482356532844).

The spelling of 4442133220400 in words is "four trillion, four hundred forty-two billion, one hundred thirty-three million, two hundred twenty thousand, four hundred".