1338876210240 has 672 divisors, whose sum is σ = 5010347022720. Its totient is φ = 327001079808.

The previous prime is 1338876210233. The next prime is 1338876210241. The reversal of 1338876210240 is 420126788331.

1338876210240 is a `hidden beast` number, since 1 + 3 + 388 + 7 + 6 + 21 + 0 + 240 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1338876210241) 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, 330014292 + ... + 330018348.

Almost surely, 2^{1338876210240} is an apocalyptic number.

1338876210240 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 1338876210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505173511360).

1338876210240 is an abundant number, since it is smaller than the sum of its proper divisors (3671470812480).

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

1338876210240 is a wasteful number, since it uses less digits than its factorization.

1338876210240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4299 (or 4286 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 1338876210240 in words is "one trillion, three hundred thirty-eight billion, eight hundred seventy-six million, two hundred ten thousand, two hundred forty".