4935012264000 has 4032 divisors, whose sum is σ = 23807113574400. Its totient is φ = 996323328000.

The previous prime is 4935012263927. The next prime is 4935012264059. The reversal of 4935012264000 is 4622105394.

It is a happy number.

4935012264000 is a `hidden beast` number, since 4 + 9 + 3 + 5 + 0 + 1 + 2 + 2 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 55449575956 + ... + 55449576044.

Almost surely, 2^{4935012264000} is an apocalyptic number.

4935012264000 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 4935012264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11903556787200).

4935012264000 is an abundant number, since it is smaller than the sum of its proper divisors (18872101310400).

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

4935012264000 is a wasteful number, since it uses less digits than its factorization.

4935012264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 4935012264000 its reverse (4622105394), we get a palindrome (4939634369394).

The spelling of 4935012264000 in words is "four trillion, nine hundred thirty-five billion, twelve million, two hundred sixty-four thousand".