380414168064 has 704 divisors, whose sum is σ = 1320560640000. Its totient is φ = 105946693632.

The previous prime is 380414168047. The next prime is 380414168077. The reversal of 380414168064 is 460861414083.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2125218727 + ... + 2125218905.

Almost surely, 2^380414168064 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 380414168064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660280320000).

380414168064 is an abundant number, since it is smaller than the sum of its proper divisors (940146471936).

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

380414168064 is a wasteful number, since it uses less digits than its factorization.

380414168064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 380414168064 in words is "three hundred eighty billion, four hundred fourteen million, one hundred sixty-eight thousand, sixty-four".