13643839440 has 480 divisors, whose sum is σ = 57359757312. Its totient is φ = 2823552000.

The previous prime is 13643839427. The next prime is 13643839477. The reversal of 13643839440 is 4493834631.

13643839440 is a `hidden beast` number, since 136 + 43 + 8 + 39 + 440 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23894355 + ... + 23894925.

Almost surely, 2^13643839440 is an apocalyptic number.

13643839440 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 13643839440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28679878656).

13643839440 is an abundant number, since it is smaller than the sum of its proper divisors (43715917872).

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

13643839440 is a wasteful number, since it uses less digits than its factorization.

13643839440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 13643839440 in words is "thirteen billion, six hundred forty-three million, eight hundred thirty-nine thousand, four hundred forty".