380271383859456 has 2304 divisors, whose sum is σ = 1321579000627200. Its totient is φ = 107173733990400.

The previous prime is 380271383859421. The next prime is 380271383859463. The reversal of 380271383859456 is 654958383172083.

380271383859456 is a `hidden beast` number, since 3 + 8 + 0 + 2 + 7 + 13 + 83 + 85 + 9 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 312466214560 + ... + 312466215776.

It is an arithmetic number, because the mean of its divisors is an integer number (573601996800).

It is a 1-persistent number, because it is pandigital, but 2⋅380271383859456 = 760542767718912 is not.

Almost surely, 2^{380271383859456} is an apocalyptic number.

380271383859456 is a gapful number since it is divisible by the number (36) 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 380271383859456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660789500313600).

380271383859456 is an abundant number, since it is smaller than the sum of its proper divisors (941307616767744).

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

380271383859456 is a wasteful number, since it uses less digits than its factorization.

380271383859456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 380271383859456 in words is "three hundred eighty trillion, two hundred seventy-one billion, three hundred eighty-three million, eight hundred fifty-nine thousand, four hundred fifty-six".