4640133313200 has 1440 divisors, whose sum is σ = 19756086085120. Its totient is φ = 908734464000.

The previous prime is 4640133313177. The next prime is 4640133313201. The reversal of 4640133313200 is 23133310464.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4640133313201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4654095102 + ... + 4654096098.

Almost surely, 2^{4640133313200} is an apocalyptic number.

4640133313200 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 4640133313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9878043042560).

4640133313200 is an abundant number, since it is smaller than the sum of its proper divisors (15115952771920).

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

4640133313200 is a wasteful number, since it uses less digits than its factorization.

4640133313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 4640133313200 its reverse (23133310464), we get a palindrome (4663266623664).

The spelling of 4640133313200 in words is "four trillion, six hundred forty billion, one hundred thirty-three million, three hundred thirteen thousand, two hundred".