4448379212400 has 240 divisors, whose sum is σ = 14664168080000. Its totient is φ = 1151855354880.

The previous prime is 4448379212323. The next prime is 4448379212419. The reversal of 4448379212400 is 42129738444.

It is a tau number, because it is divible by the number of its divisors (240).

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 4448379212400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22055211 + ... + 22255989.

Almost surely, 2^{4448379212400} is an apocalyptic number.

4448379212400 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 4448379212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7332084040000).

4448379212400 is an abundant number, since it is smaller than the sum of its proper divisors (10215788867600).

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

4448379212400 is a wasteful number, since it uses less digits than its factorization.

4448379212400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201336 (or 201325 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 4448379212400 in words is "four trillion, four hundred forty-eight billion, three hundred seventy-nine million, two hundred twelve thousand, four hundred".