4225258598400 has 1560 divisors, whose sum is σ = 18195751346784. Its totient is φ = 949144780800.

The previous prime is 4225258598377. The next prime is 4225258598419. The reversal of 4225258598400 is 48958525224.

4225258598400 is a `hidden beast` number, since 4 + 2 + 2 + 5 + 2 + 5 + 8 + 598 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3541708204 + ... + 3541709396.

Almost surely, 2^{4225258598400} is an apocalyptic number.

4225258598400 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 4225258598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9097875673392).

4225258598400 is an abundant number, since it is smaller than the sum of its proper divisors (13970492748384).

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

4225258598400 is a wasteful number, since it uses less digits than its factorization.

4225258598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 4225258598400 in words is "four trillion, two hundred twenty-five billion, two hundred fifty-eight million, five hundred ninety-eight thousand, four hundred".