1338744104280 has 192 divisors, whose sum is σ = 4747271742720. Its totient is φ = 324488275200.

The previous prime is 1338744104279. The next prime is 1338744104351. The reversal of 1338744104280 is 824014478331.

1338744104280 is a `hidden beast` number, since 13 + 3 + 87 + 441 + 0 + 42 + 80 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25963725 + ... + 26015235.

It is an arithmetic number, because the mean of its divisors is an integer number (24725373660).

Almost surely, 2^{1338744104280} is an apocalyptic number.

1338744104280 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 1338744104280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373635871360).

1338744104280 is an abundant number, since it is smaller than the sum of its proper divisors (3408527638440).

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

1338744104280 is a wasteful number, since it uses less digits than its factorization.

1338744104280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58102 (or 58095 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 1338744104280 in words is "one trillion, three hundred thirty-eight billion, seven hundred forty-four million, one hundred four thousand, two hundred eighty".