13893841405440 has 560 divisors, whose sum is σ = 50001422838048. Its totient is φ = 3700924121088.

The previous prime is 13893841405393. The next prime is 13893841405489. The reversal of 13893841405440 is 4450414839831.

13893841405440 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 3 + 84 + 14 + 0 + 544 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1927822317 + ... + 1927829523.

Almost surely, 2^{13893841405440} is an apocalyptic number.

13893841405440 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 13893841405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25000711419024).

13893841405440 is an abundant number, since it is smaller than the sum of its proper divisors (36107581432608).

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

13893841405440 is an frugal number, since it uses more digits than its factorization.

13893841405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8281 (or 8250 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 13893841405440 in words is "thirteen trillion, eight hundred ninety-three billion, eight hundred forty-one million, four hundred five thousand, four hundred forty".