4829225440 has 192 divisors, whose sum is σ = 13088174400. Its totient is φ = 1669054464.

The previous prime is 4829225407. The next prime is 4829225447. The reversal of 4829225440 is 445229284.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4829225393 and 4829225402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4829225447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3516594 + ... + 3517966.

It is an arithmetic number, because the mean of its divisors is an integer number (68167575).

Almost surely, 2^4829225440 is an apocalyptic number.

4829225440 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 4829225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6544087200).

4829225440 is an abundant number, since it is smaller than the sum of its proper divisors (8258948960).

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

4829225440 is a wasteful number, since it uses less digits than its factorization.

4829225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 4829225440 is about 69492.6286738385. The cubic root of 4829225440 is about 1690.2819738881.

The spelling of 4829225440 in words is "four billion, eight hundred twenty-nine million, two hundred twenty-five thousand, four hundred forty".