13866733440 has 960 divisors, whose sum is σ = 59262334560. Its totient is φ = 3079544832.

The previous prime is 13866733429. The next prime is 13866733471. The reversal of 13866733440 is 4433766831.

13866733440 is a `hidden beast` number, since 138 + 6 + 6 + 73 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 134628429 + ... + 134628531.

Almost surely, 2^13866733440 is an apocalyptic number.

13866733440 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 13866733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29631167280).

13866733440 is an abundant number, since it is smaller than the sum of its proper divisors (45395601120).

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

13866733440 is a wasteful number, since it uses less digits than its factorization.

13866733440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 13866733440 in words is "thirteen billion, eight hundred sixty-six million, seven hundred thirty-three thousand, four hundred forty".