382034416640 has 176 divisors, whose sum is σ = 965659968000. Its totient is φ = 144622190592.

The previous prime is 382034416613. The next prime is 382034416649. The reversal of 382034416640 is 46614430283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382034416649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159246161 + ... + 159248559.

Almost surely, 2^382034416640 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 382034416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482829984000).

382034416640 is an abundant number, since it is smaller than the sum of its proper divisors (583625551360).

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

382034416640 is a wasteful number, since it uses less digits than its factorization.

382034416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4080 (or 4062 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 41.

The spelling of 382034416640 in words is "three hundred eighty-two billion, thirty-four million, four hundred sixteen thousand, six hundred forty".