380983553440000 has 405 divisors, whose sum is σ = 1105603130663031. Its totient is φ = 130604194560000.

The previous prime is 380983553439961. The next prime is 380983553440001. The reversal of 380983553440000 is 44355389083.

The square root of 380983553440000 is 19518800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 29869110589696 + 351114442850304 = 5465264^2 + 18738048^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 380983553440000.

It is not an unprimeable number, because it can be changed into a prime (380983553440001) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 54652636515 + ... + 54652643485.

Almost surely, 2^{380983553440000} is an apocalyptic number.

380983553440000 is the 19518800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380983553440000

380983553440000 is an abundant number, since it is smaller than the sum of its proper divisors (724619577223031).

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

380983553440000 is an frugal number, since it uses more digits than its factorization.

380983553440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13992 (or 6985 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 52.

The spelling of 380983553440000 in words is "three hundred eighty trillion, nine hundred eighty-three billion, five hundred fifty-three million, four hundred forty thousand".