383348406441000 has 1024 divisors, whose sum is σ = 1610191341158400. Its totient is φ = 73332020736000.

The previous prime is 383348406440963. The next prime is 383348406441137. The reversal of 383348406441000 is 144604843383.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1119947881 + ... + 1120290119.

It is an arithmetic number, because the mean of its divisors is an integer number (1572452481600).

Almost surely, 2^{383348406441000} is an apocalyptic number.

383348406441000 is a gapful number since it is divisible by the number (30) 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 383348406441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805095670579200).

383348406441000 is an abundant number, since it is smaller than the sum of its proper divisors (1226842934717400).

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

383348406441000 is a wasteful number, since it uses less digits than its factorization.

383348406441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342667 (or 342653 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 48.

The spelling of 383348406441000 in words is "three hundred eighty-three trillion, three hundred forty-eight billion, four hundred six million, four hundred forty-one thousand".