10968229440 has 560 divisors, whose sum is σ = 45366334464. Its totient is φ = 2463436800.

The previous prime is 10968229417. The next prime is 10968229457. The reversal of 10968229440 is 4492286901.

10968229440 is a `hidden beast` number, since 109 + 6 + 82 + 29 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11067345 + ... + 11068335.

Almost surely, 2^10968229440 is an apocalyptic number.

10968229440 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 10968229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22683167232).

10968229440 is an abundant number, since it is smaller than the sum of its proper divisors (34398105024).

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

10968229440 is an equidigital number, since it uses as much as digits as its factorization.

10968229440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 10968229440 in words is "ten billion, nine hundred sixty-eight million, two hundred twenty-nine thousand, four hundred forty".