4965360136000 has 896 divisors, whose sum is σ = 15162399383040. Its totient is φ = 1587216384000.

The previous prime is 4965360135929. The next prime is 4965360136001. The reversal of 4965360136000 is 6310635694.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4965360136001) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 2074950804 + ... + 2074953196.

It is an arithmetic number, because the mean of its divisors is an integer number (16922320740).

Almost surely, 2^{4965360136000} is an apocalyptic number.

4965360136000 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 4965360136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7581199691520).

4965360136000 is an abundant number, since it is smaller than the sum of its proper divisors (10197039247040).

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

4965360136000 is a wasteful number, since it uses less digits than its factorization.

4965360136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 43.

The spelling of 4965360136000 in words is "four trillion, nine hundred sixty-five billion, three hundred sixty million, one hundred thirty-six thousand".