4253616640 has 480 divisors, whose sum is σ = 13652876160. Its totient is φ = 1234206720.

The previous prime is 4253616629. The next prime is 4253616649. The reversal of 4253616640 is 466163524.

It is a self number, because there is not a number n which added to its sum of digits gives 4253616640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4253616649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137213425 + ... + 137213455.

It is an arithmetic number, because the mean of its divisors is an integer number (28443492).

Almost surely, 2^4253616640 is an apocalyptic number.

4253616640 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 4253616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6826438080).

4253616640 is an abundant number, since it is smaller than the sum of its proper divisors (9399259520).

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

4253616640 is a wasteful number, since it uses less digits than its factorization.

4253616640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The square root of 4253616640 is about 65219.7565159515. The cubic root of 4253616640 is about 1620.2652413334.

The spelling of 4253616640 in words is "four billion, two hundred fifty-three million, six hundred sixteen thousand, six hundred forty".