13601629440 has 432 divisors, whose sum is σ = 55528252416. Its totient is φ = 3008102400.

The previous prime is 13601629429. The next prime is 13601629441. The reversal of 13601629440 is 4492610631.

13601629440 is a `hidden beast` number, since 1 + 3 + 601 + 6 + 2 + 9 + 4 + 40 = 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 = 13601629395 and 13601629404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13601629441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2497120 + ... + 2502560.

Almost surely, 2^13601629440 is an apocalyptic number.

13601629440 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 13601629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27764126208).

13601629440 is an abundant number, since it is smaller than the sum of its proper divisors (41926622976).

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

13601629440 is a wasteful number, since it uses less digits than its factorization.

13601629440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5506 (or 5489 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 13601629440 in words is "thirteen billion, six hundred one million, six hundred twenty-nine thousand, four hundred forty".