1380910582800 has 840 divisors, whose sum is σ = 5817352211264. Its totient is φ = 308276720640.

The previous prime is 1380910582759. The next prime is 1380910582813. The reversal of 1380910582800 is 82850190831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-3 number, since 3×1380910582800³ (a number of 37 digits) contains 333 as substring.

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 167 ways as a sum of consecutive naturals, for example, 87763734 + ... + 87779466.

Almost surely, 2^{1380910582800} is an apocalyptic number.

1380910582800 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 1380910582800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2908676105632).

1380910582800 is an abundant number, since it is smaller than the sum of its proper divisors (4436441628464).

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

1380910582800 is a wasteful number, since it uses less digits than its factorization.

1380910582800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15819 (or 15793 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 1380910582800 in words is "one trillion, three hundred eighty billion, nine hundred ten million, five hundred eighty-two thousand, eight hundred".