1382638881260 has 192 divisors, whose sum is σ = 3633095337984. Its totient is φ = 430327296000.

The previous prime is 1382638881257. The next prime is 1382638881269. The reversal of 1382638881260 is 621888362831.

It is a happy number.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1382638881196 and 1382638881205.

It is not an unprimeable number, because it can be changed into a prime (1382638881269) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51803879 + ... + 51830561.

It is an arithmetic number, because the mean of its divisors is an integer number (18922371552).

Almost surely, 2^{1382638881260} is an apocalyptic number.

1382638881260 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 1382638881260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816547668992).

1382638881260 is an abundant number, since it is smaller than the sum of its proper divisors (2250456456724).

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

1382638881260 is a wasteful number, since it uses less digits than its factorization.

1382638881260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27184 (or 27182 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 56.

The spelling of 1382638881260 in words is "one trillion, three hundred eighty-two billion, six hundred thirty-eight million, eight hundred eighty-one thousand, two hundred sixty".