13885577101440 has 384 divisors, whose sum is σ = 52526517638400. Its totient is φ = 3352112332800.

The previous prime is 13885577101421. The next prime is 13885577101453. The reversal of 13885577101440 is 4410177558831.

It is a happy number.

13885577101440 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 5 + 577 + 10 + 14 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 14684560 + ... + 15601520.

It is an arithmetic number, because the mean of its divisors is an integer number (136787806350).

Almost surely, 2^{13885577101440} is an apocalyptic number.

13885577101440 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 13885577101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26263258819200).

13885577101440 is an abundant number, since it is smaller than the sum of its proper divisors (38640940536960).

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

13885577101440 is a wasteful number, since it uses less digits than its factorization.

13885577101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917236 (or 917221 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 13885577101440 in words is "thirteen trillion, eight hundred eighty-five billion, five hundred seventy-seven million, one hundred one thousand, four hundred forty".