4425022562688 has 2560 divisors, whose sum is σ = 18431207424000. Its totient is φ = 1032386052096.

The previous prime is 4425022562687. The next prime is 4425022562749. The reversal of 4425022562688 is 8862652205244.

4425022562688 is a `hidden beast` number, since 4 + 4 + 2 + 5 + 0 + 2 + 2 + 5 + 626 + 8 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4425022562683) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 34842697281 + ... + 34842697407.

It is an arithmetic number, because the mean of its divisors is an integer number (7199690400).

Almost surely, 2^{4425022562688} is an apocalyptic number.

4425022562688 is a gapful number since it is divisible by the number (48) 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 4425022562688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9215603712000).

4425022562688 is an abundant number, since it is smaller than the sum of its proper divisors (14006184861312).

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

4425022562688 is a wasteful number, since it uses less digits than its factorization.

4425022562688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 4425022562688 in words is "four trillion, four hundred twenty-five billion, twenty-two million, five hundred sixty-two thousand, six hundred eighty-eight".