4225122294400 has 960 divisors, whose sum is σ = 12987555796800. Its totient is φ = 1354210099200.

The previous prime is 4225122294389. The next prime is 4225122294451. The reversal of 4225122294400 is 44922215224.

It is a self number, because there is not a number n which added to its sum of digits gives 4225122294400.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15036022260 + ... + 15036022540.

It is an arithmetic number, because the mean of its divisors is an integer number (13528703955).

Almost surely, 2^{4225122294400} is an apocalyptic number.

4225122294400 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 4225122294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6493777898400).

4225122294400 is an abundant number, since it is smaller than the sum of its proper divisors (8762433502400).

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

4225122294400 is a wasteful number, since it uses less digits than its factorization.

4225122294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 4225122294400 in words is "four trillion, two hundred twenty-five billion, one hundred twenty-two million, two hundred ninety-four thousand, four hundred".