13630181040 has 720 divisors, whose sum is σ = 56729181600. Its totient is φ = 3030773760.

The previous prime is 13630181011. The next prime is 13630181063. The reversal of 13630181040 is 4018103631.

13630181040 is a `hidden beast` number, since 1 + 3 + 630 + 18 + 10 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13630180995 and 13630181013.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39054786 + ... + 39055134.

It is an arithmetic number, because the mean of its divisors is an integer number (78790530).

Almost surely, 2^13630181040 is an apocalyptic number.

13630181040 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 13630181040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28364590800).

13630181040 is an abundant number, since it is smaller than the sum of its proper divisors (43099000560).

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

13630181040 is a wasteful number, since it uses less digits than its factorization.

13630181040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 13630181040 its reverse (4018103631), we get a palindrome (17648284671).

The spelling of 13630181040 in words is "thirteen billion, six hundred thirty million, one hundred eighty-one thousand, forty".