380045506401 has 48 divisors (see below), whose sum is σ = 616872043008. Its totient is φ = 223439731200.

The previous prime is 380045506339. The next prime is 380045506403. The reversal of 380045506401 is 104605540083.

It is a happy number.

380045506401 is a `hidden beast` number, since 3 + 8 + 0 + 0 + 4 + 5 + 5 + 0 + 640 + 1 = 666.

It is not a de Polignac number, because 380045506401 - 2¹⁰ = 380045505377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (380045506403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1080496 + ... + 1388366.

It is an arithmetic number, because the mean of its divisors is an integer number (12851500896).

Almost surely, 2^380045506401 is an apocalyptic number.

It is an amenable number.

380045506401 is a deficient number, since it is larger than the sum of its proper divisors (236826536607).

380045506401 is a wasteful number, since it uses less digits than its factorization.

380045506401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308262 (or 308259 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 380045 and 506401, that added together give a triangular number (886446 = T₁₃₃₁).

The spelling of 380045506401 in words is "three hundred eighty billion, forty-five million, five hundred six thousand, four hundred one".