4225745596800 has 768 divisors, whose sum is σ = 18138264076800. Its totient is φ = 839136706560.

The previous prime is 4225745596789. The next prime is 4225745596823. The reversal of 4225745596800 is 86955475224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14708931 + ... + 14993469.

It is an arithmetic number, because the mean of its divisors is an integer number (23617531350).

Almost surely, 2^{4225745596800} is an apocalyptic number.

4225745596800 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 4225745596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9069132038400).

4225745596800 is an abundant number, since it is smaller than the sum of its proper divisors (13912518480000).

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

4225745596800 is a wasteful number, since it uses less digits than its factorization.

4225745596800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284603 (or 284586 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 57.

The spelling of 4225745596800 in words is "four trillion, two hundred twenty-five billion, seven hundred forty-five million, five hundred ninety-six thousand, eight hundred".