380863685040 has 160 divisors (see below), whose sum is σ = 1194120285696. Its totient is φ = 100410562560.

The previous prime is 380863684967. The next prime is 380863685089. The reversal of 380863685040 is 40586368083.

It is a super-3 number, since 3×380863685040³ (a number of 36 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 15239755 + ... + 15264725.

Almost surely, 2^380863685040 is an apocalyptic number.

380863685040 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 380863685040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597060142848).

380863685040 is an abundant number, since it is smaller than the sum of its proper divisors (813256600656).

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

380863685040 is a wasteful number, since it uses less digits than its factorization.

380863685040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25707 (or 25701 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 380863685040 in words is "three hundred eighty billion, eight hundred sixty-three million, six hundred eighty-five thousand, forty".