4404125114400 has 576 divisors, whose sum is σ = 16572430296576. Its totient is φ = 1004021760000.

The previous prime is 4404125114393. The next prime is 4404125114401. The reversal of 4404125114400 is 44115214044.

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

It is not an unprimeable number, because it can be changed into a prime (4404125114401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 651205419 + ... + 651212181.

It is an arithmetic number, because the mean of its divisors is an integer number (28771580376).

Almost surely, 2^{4404125114400} is an apocalyptic number.

4404125114400 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 4404125114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8286215148288).

4404125114400 is an abundant number, since it is smaller than the sum of its proper divisors (12168305182176).

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

4404125114400 is a wasteful number, since it uses less digits than its factorization.

4404125114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8265 (or 8252 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The spelling of 4404125114400 in words is "four trillion, four hundred four billion, one hundred twenty-five million, one hundred fourteen thousand, four hundred".