1338641874900 has 864 divisors, whose sum is σ = 5079590635392. Its totient is φ = 302181580800.

The previous prime is 1338641874887. The next prime is 1338641874901. The reversal of 1338641874900 is 94781468331.

1338641874900 is a `hidden beast` number, since 1 + 3 + 38 + 6 + 41 + 87 + 490 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338641874901) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 440776182 + ... + 440779218.

It is an arithmetic number, because the mean of its divisors is an integer number (5879155828).

Almost surely, 2^{1338641874900} is an apocalyptic number.

1338641874900 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 1338641874900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539795317696).

1338641874900 is an abundant number, since it is smaller than the sum of its proper divisors (3740948760492).

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

1338641874900 is a wasteful number, since it uses less digits than its factorization.

1338641874900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3191 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 1338641874900 in words is "one trillion, three hundred thirty-eight billion, six hundred forty-one million, eight hundred seventy-four thousand, nine hundred".