380505565440 has 2304 divisors, whose sum is σ = 1922555658240. Its totient is φ = 68584734720.

The previous prime is 380505565409. The next prime is 380505565481. The reversal of 380505565440 is 44565505083.

380505565440 is a `hidden beast` number, since 3 + 8 + 0 + 5 + 0 + 556 + 54 + 40 = 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 (45).

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, 588107197 + ... + 588107843.

It is an arithmetic number, because the mean of its divisors is an integer number (834442560).

Almost surely, 2^380505565440 is an apocalyptic number.

380505565440 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 380505565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961277829120).

380505565440 is an abundant number, since it is smaller than the sum of its proper divisors (1542050092800).

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

380505565440 is a wasteful number, since it uses less digits than its factorization.

380505565440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 380505565440 in words is "three hundred eighty billion, five hundred five million, five hundred sixty-five thousand, four hundred forty".