4421001079200 has 144 divisors (see below), whose sum is σ = 14407765656480. Its totient is φ = 1177507537920.

The previous prime is 4421001079193. The next prime is 4421001079273. The reversal of 4421001079200 is 29701001244.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 871086 + ... + 3098514.

It is an arithmetic number, because the mean of its divisors is an integer number (100053928170).

Almost surely, 2^{4421001079200} is an apocalyptic number.

4421001079200 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 4421001079200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7203882828240).

4421001079200 is an abundant number, since it is smaller than the sum of its proper divisors (9986764577280).

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

4421001079200 is a wasteful number, since it uses less digits than its factorization.

4421001079200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228279 (or 2228266 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 4421001079200 in words is "four trillion, four hundred twenty-one billion, one million, seventy-nine thousand, two hundred".