4452200640 has 280 divisors, whose sum is σ = 16386139440. Its totient is φ = 1146120192.

The previous prime is 4452200633. The next prime is 4452200653. The reversal of 4452200640 is 460022544.

4452200640 is a `hidden beast` number, since 4 + 452 + 200 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 748719 + ... + 754641.

Almost surely, 2^4452200640 is an apocalyptic number.

4452200640 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 4452200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8193069720).

4452200640 is an abundant number, since it is smaller than the sum of its proper divisors (11933938800).

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

4452200640 is a wasteful number, since it uses less digits than its factorization.

4452200640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5981 (or 5962 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4452200640 is about 66724.8127760581. The cubic root of 4452200640 is about 1645.0972482180.

The spelling of 4452200640 in words is "four billion, four hundred fifty-two million, two hundred thousand, six hundred forty".