4835131392000 has 2304 divisors, whose sum is σ = 21105388781568. Its totient is φ = 955043020800.

The previous prime is 4835131391983. The next prime is 4835131392041. The reversal of 4835131392000 is 2931315384.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 4835131392000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 102875135977 + ... + 102875136023.

It is an arithmetic number, because the mean of its divisors is an integer number (9160324992).

Almost surely, 2^{4835131392000} is an apocalyptic number.

4835131392000 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 4835131392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10552694390784).

4835131392000 is an abundant number, since it is smaller than the sum of its proper divisors (16270257389568).

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

4835131392000 is an equidigital number, since it uses as much as digits as its factorization.

4835131392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 4835131392000 in words is "four trillion, eight hundred thirty-five billion, one hundred thirty-one million, three hundred ninety-two thousand".