13810436640 has 1296 divisors, whose sum is σ = 65063404224. Its totient is φ = 2609418240.

The previous prime is 13810436617. The next prime is 13810436671. The reversal of 13810436640 is 4663401831.

It is a happy number.

13810436640 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 0 + 4 + 3 + 6 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 13810436595 and 13810436604.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 206125887 + ... + 206125953.

It is an arithmetic number, because the mean of its divisors is an integer number (50203244).

Almost surely, 2^13810436640 is an apocalyptic number.

13810436640 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 13810436640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32531702112).

13810436640 is an abundant number, since it is smaller than the sum of its proper divisors (51252967584).

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

13810436640 is a wasteful number, since it uses less digits than its factorization.

13810436640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 13810436640 in words is "thirteen billion, eight hundred ten million, four hundred thirty-six thousand, six hundred forty".