383416126720 has 216 divisors, whose sum is σ = 1011878271432. Its totient is φ = 139093278720.

The previous prime is 383416126699. The next prime is 383416126733. The reversal of 383416126720 is 27621614383.

It can be written as a sum of positive squares in 4 ways, for example, as 28905440256 + 354510686464 = 170016^2 + 595408^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70777452 + ... + 70782868.

It is an arithmetic number, because the mean of its divisors is an integer number (4684621627).

Almost surely, 2^383416126720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 383416126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505939135716).

383416126720 is an abundant number, since it is smaller than the sum of its proper divisors (628462144712).

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

383416126720 is a wasteful number, since it uses less digits than its factorization.

383416126720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5917 (or 5892 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 383416126720 in words is "three hundred eighty-three billion, four hundred sixteen million, one hundred twenty-six thousand, seven hundred twenty".