4813552240 has 320 divisors, whose sum is σ = 14141952000. Its totient is φ = 1518375936.

The previous prime is 4813552231. The next prime is 4813552241. The reversal of 4813552240 is 422553184.

It is a junction number, because it is equal to n+sod(n) for n = 4813552196 and 4813552205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4813552241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18302349 + ... + 18302611.

It is an arithmetic number, because the mean of its divisors is an integer number (44193600).

Almost surely, 2^4813552240 is an apocalyptic number.

4813552240 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 4813552240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7070976000).

4813552240 is an abundant number, since it is smaller than the sum of its proper divisors (9328399760).

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

4813552240 is a wasteful number, since it uses less digits than its factorization.

4813552240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The square root of 4813552240 is about 69379.7682325330. The cubic root of 4813552240 is about 1688.4513946698.

The spelling of 4813552240 in words is "four billion, eight hundred thirteen million, five hundred fifty-two thousand, two hundred forty".