1384532398080 has 1248 divisors, whose sum is σ = 5612540038560. Its totient is φ = 312559534080.

The previous prime is 1384532398013. The next prime is 1384532398087. The reversal of 1384532398080 is 808932354831.

1384532398080 is a `hidden beast` number, since 1 + 3 + 8 + 453 + 2 + 39 + 80 + 80 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 650590654464 + 733941743616 = 806592^2 + 856704^2 .

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-3 number, since 3×1384532398080³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1384532398087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1670123106 + ... + 1670123934.

It is an arithmetic number, because the mean of its divisors is an integer number (4497227595).

Almost surely, 2^{1384532398080} is an apocalyptic number.

1384532398080 is a gapful number since it is divisible by the number (10) 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 1384532398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2806270019280).

1384532398080 is an abundant number, since it is smaller than the sum of its proper divisors (4228007640480).

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

1384532398080 is a wasteful number, since it uses less digits than its factorization.

1384532398080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1384532398080 in words is "one trillion, three hundred eighty-four billion, five hundred thirty-two million, three hundred ninety-eight thousand, eighty".