4225979520 has 1024 divisors, whose sum is σ = 18800640000. Its totient is φ = 894136320.

The previous prime is 4225979447. The next prime is 4225979521. The reversal of 4225979520 is 259795224.

4225979520 is a `hidden beast` number, since 4 + 2 + 2 + 59 + 79 + 520 = 666.

4225979520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4225979521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 136321905 + ... + 136321935.

It is an arithmetic number, because the mean of its divisors is an integer number (18360000).

Almost surely, 2^4225979520 is an apocalyptic number.

4225979520 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 4225979520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9400320000).

4225979520 is an abundant number, since it is smaller than the sum of its proper divisors (14574660480).

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

4225979520 is a wasteful number, since it uses less digits than its factorization.

4225979520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 4225979520 is about 65007.5343325679. The cubic root of 4225979520 is about 1616.7484850834.

The spelling of 4225979520 in words is "four billion, two hundred twenty-five million, nine hundred seventy-nine thousand, five hundred twenty".