1381896000000 has 840 divisors, whose sum is σ = 5283167921460. Its totient is φ = 346521600000.

The previous prime is 1381895999947. The next prime is 1381896000047. The reversal of 1381896000000 is 6981831.

1381896000000 is a `hidden beast` number, since 1 + 38 + 18 + 9 + 600 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 14 ways, for example, as 1288788021504 + 93107978496 = 1135248^2 + 305136^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1223999436 + ... + 1224000564.

Almost surely, 2^{1381896000000} is an apocalyptic number.

1381896000000 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 1381896000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641583960730).

1381896000000 is an abundant number, since it is smaller than the sum of its proper divisors (3901271921460).

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

1381896000000 is an frugal number, since it uses more digits than its factorization.

1381896000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 1381896000000 in words is "one trillion, three hundred eighty-one billion, eight hundred ninety-six million", and thus it is an aban number.