380073133440 has 3072 divisors, whose sum is σ = 1908182707200. Its totient is φ = 70230343680.

The previous prime is 380073133423. The next prime is 380073133459. The reversal of 380073133440 is 44331370083.

380073133440 is a `hidden beast` number, since 3 + 80 + 0 + 7 + 3 + 133 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 380073133395 and 380073133404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5206481244 + ... + 5206481316.

It is an arithmetic number, because the mean of its divisors is an integer number (621153225).

Almost surely, 2^380073133440 is an apocalyptic number.

380073133440 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 380073133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954091353600).

380073133440 is an abundant number, since it is smaller than the sum of its proper divisors (1528109573760).

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

380073133440 is a wasteful number, since it uses less digits than its factorization.

380073133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 380073133440 in words is "three hundred eighty billion, seventy-three million, one hundred thirty-three thousand, four hundred forty".