1338447140100 has 288 divisors, whose sum is σ = 4918822675200. Its totient is φ = 305851852800.

The previous prime is 1338447140089. The next prime is 1338447140113. The reversal of 1338447140100 is 10417448331.

1338447140100 is a `hidden beast` number, since 1 + 3 + 3 + 84 + 471 + 4 + 0 + 100 = 666.

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 95 ways as a sum of consecutive naturals, for example, 105474556 + ... + 105487244.

It is an arithmetic number, because the mean of its divisors is an integer number (17079245400).

Almost surely, 2^{1338447140100} is an apocalyptic number.

1338447140100 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 1338447140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459411337600).

1338447140100 is an abundant number, since it is smaller than the sum of its proper divisors (3580375535100).

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

1338447140100 is a wasteful number, since it uses less digits than its factorization.

1338447140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18300 (or 18287 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 1338447140100 in words is "one trillion, three hundred thirty-eight billion, four hundred forty-seven million, one hundred forty thousand, one hundred".