13226653440 has 1728 divisors, whose sum is σ = 65140088832. Its totient is φ = 2388787200.

The previous prime is 13226653439. The next prime is 13226653469. The reversal of 13226653440 is 4435662231.

13226653440 is a `hidden beast` number, since 1 + 3 + 22 + 66 + 534 + 40 = 666.

It is a super-2 number, since 2×13226653440² (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 = 13226653395 and 13226653404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 357477102 + ... + 357477138.

Almost surely, 2^13226653440 is an apocalyptic number.

13226653440 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 13226653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32570044416).

13226653440 is an abundant number, since it is smaller than the sum of its proper divisors (51913435392).

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

13226653440 is a wasteful number, since it uses less digits than its factorization.

13226653440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

It can be divided in two parts, 13226 and 653440, that added together give a palindrome (666666).

The spelling of 13226653440 in words is "thirteen billion, two hundred twenty-six million, six hundred fifty-three thousand, four hundred forty".