4613873387200 has 168 divisors, whose sum is σ = 14154405202944. Its totient is φ = 1438090368000.

The previous prime is 4613873387159. The next prime is 4613873387203. The reversal of 4613873387200 is 27833783164.

It is a happy number.

It is a super-2 number, since 2×4613873387200² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4613873387203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 18601936 + ... + 18848335.

Almost surely, 2^{4613873387200} is an apocalyptic number.

4613873387200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4613873387200 is an abundant number, since it is smaller than the sum of its proper divisors (9540531815744).

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

4613873387200 is a wasteful number, since it uses less digits than its factorization.

4613873387200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37450311 (or 37450296 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 52.

The spelling of 4613873387200 in words is "four trillion, six hundred thirteen billion, eight hundred seventy-three million, three hundred eighty-seven thousand, two hundred".