380506449440 has 192 divisors, whose sum is σ = 1031936824800. Its totient is φ = 131341025280.

The previous prime is 380506449403. The next prime is 380506449461. The reversal of 380506449440 is 44944605083.

It can be written as a sum of positive squares in 16 ways, for example, as 3407290384 + 377099159056 = 58372^2 + 614084^2 .

It is a hoax number, since the sum of its digits (47) 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, 5232530 + ... + 5304750.

Almost surely, 2^380506449440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380506449440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515968412400).

380506449440 is an abundant number, since it is smaller than the sum of its proper divisors (651430375360).

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

380506449440 is a wasteful number, since it uses less digits than its factorization.

380506449440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72415 (or 72407 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 47.

The spelling of 380506449440 in words is "three hundred eighty billion, five hundred six million, four hundred forty-nine thousand, four hundred forty".