13963901040 has 200 divisors, whose sum is σ = 51051710160. Its totient is φ = 3527691264.

The previous prime is 13963901033. The next prime is 13963901057. The reversal of 13963901040 is 4010936931.

13963901040 is a `hidden beast` number, since 1 + 3 + 9 + 639 + 0 + 10 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13963900986 and 13963901004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 66412 + ... + 179828.

Almost surely, 2^13963901040 is an apocalyptic number.

13963901040 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 13963901040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25525855080).

13963901040 is an abundant number, since it is smaller than the sum of its proper divisors (37087809120).

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

13963901040 is a wasteful number, since it uses less digits than its factorization.

13963901040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113461 (or 113446 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 13963901040 in words is "thirteen billion, nine hundred sixty-three million, nine hundred one thousand, forty".