380367066240 has 512 divisors, whose sum is σ = 1541722982400. Its totient is φ = 86820139008.

The previous prime is 380367066227. The next prime is 380367066271. The reversal of 380367066240 is 42660763083.

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 63 ways as a sum of consecutive naturals, for example, 109708987 + ... + 109712453.

It is an arithmetic number, because the mean of its divisors is an integer number (3011177700).

Almost surely, 2^380367066240 is an apocalyptic number.

380367066240 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 380367066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770861491200).

380367066240 is an abundant number, since it is smaller than the sum of its proper divisors (1161355916160).

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

380367066240 is a wasteful number, since it uses less digits than its factorization.

380367066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4409 (or 4391 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 380367066240 in words is "three hundred eighty billion, three hundred sixty-seven million, sixty-six thousand, two hundred forty".