13936285440 has 576 divisors, whose sum is σ = 61669278720. Its totient is φ = 2895298560.

The previous prime is 13936285427. The next prime is 13936285457. The reversal of 13936285440 is 4458263931.

13936285440 is a `hidden beast` number, since 13 + 9 + 3 + 628 + 5 + 4 + 4 + 0 = 666.

13936285440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2658502 + ... + 2663738.

It is an arithmetic number, because the mean of its divisors is an integer number (107064720).

Almost surely, 2^13936285440 is an apocalyptic number.

13936285440 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 13936285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30834639360).

13936285440 is an abundant number, since it is smaller than the sum of its proper divisors (47732993280).

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

13936285440 is a wasteful number, since it uses less digits than its factorization.

13936285440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5285 (or 5265 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 13936285440 in words is "thirteen billion, nine hundred thirty-six million, two hundred eighty-five thousand, four hundred forty".