4400827200000 has 3360 divisors, whose sum is σ = 20963764483200. Its totient is φ = 914457600000.

The previous prime is 4400827199959. The next prime is 4400827200023. The reversal of 4400827200000 is 27280044.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 400075199995 + ... + 400075200005.

It is an arithmetic number, because the mean of its divisors is an integer number (6239215620).

Almost surely, 2^{4400827200000} is an apocalyptic number.

4400827200000 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 4400827200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10481882241600).

4400827200000 is an abundant number, since it is smaller than the sum of its proper divisors (16562937283200).

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

4400827200000 is an frugal number, since it uses more digits than its factorization.

4400827200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The spelling of 4400827200000 in words is "four trillion, four hundred billion, eight hundred twenty-seven million, two hundred thousand".