4309182426720 has 192 divisors, whose sum is σ = 13713846289920. Its totient is φ = 1137290600448.

The previous prime is 4309182426581. The next prime is 4309182426737. The reversal of 4309182426720 is 276242819034.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4309182426720.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 54556216 + ... + 54635144.

It is an arithmetic number, because the mean of its divisors is an integer number (71426282760).

Almost surely, 2^{4309182426720} is an apocalyptic number.

4309182426720 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 4309182426720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6856923144960).

4309182426720 is an abundant number, since it is smaller than the sum of its proper divisors (9404663863200).

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

4309182426720 is a wasteful number, since it uses less digits than its factorization.

4309182426720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80117 (or 80109 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 4309182426720 in words is "four trillion, three hundred nine billion, one hundred eighty-two million, four hundred twenty-six thousand, seven hundred twenty".