13726722240 has 896 divisors, whose sum is σ = 61798809600. Its totient is φ = 2785259520.

The previous prime is 13726722239. The next prime is 13726722259. The reversal of 13726722240 is 4222762731.

It is a happy number.

13726722240 is a `hidden beast` number, since 1 + 372 + 67 + 2 + 224 + 0 = 666.

It is a super-2 number, since 2×13726722240² (a number of 21 digits) contains 22 as substring.

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 = 13726722195 and 13726722204.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 31267941 + ... + 31268379.

Almost surely, 2^13726722240 is an apocalyptic number.

13726722240 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 13726722240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30899404800).

13726722240 is an abundant number, since it is smaller than the sum of its proper divisors (48072087360).

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

13726722240 is a wasteful number, since it uses less digits than its factorization.

13726722240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 13726722240 in words is "thirteen billion, seven hundred twenty-six million, seven hundred twenty-two thousand, two hundred forty".