13452229440 has 448 divisors, whose sum is σ = 51428294400. Its totient is φ = 3290554368.

The previous prime is 13452229429. The next prime is 13452229471. The reversal of 13452229440 is 4492225431.

It is a happy number.

13452229440 is a `hidden beast` number, since 1 + 3 + 4 + 522 + 2 + 94 + 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 = 13452229395 and 13452229404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25721019 + ... + 25721541.

It is an arithmetic number, because the mean of its divisors is an integer number (114795300).

Almost surely, 2^13452229440 is an apocalyptic number.

13452229440 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 13452229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25714147200).

13452229440 is an abundant number, since it is smaller than the sum of its proper divisors (37976064960).

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

13452229440 is a wasteful number, since it uses less digits than its factorization.

13452229440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 13452229440 in words is "thirteen billion, four hundred fifty-two million, two hundred twenty-nine thousand, four hundred forty".