10959229440 has 240 divisors, whose sum is σ = 38255158656. Its totient is φ = 2899353600.

The previous prime is 10959229433. The next prime is 10959229453. The reversal of 10959229440 is 4492295901.

10959229440 is a `hidden beast` number, since 10 + 9 + 592 + 2 + 9 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3016425 + ... + 3020055.

Almost surely, 2^10959229440 is an apocalyptic number.

10959229440 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 10959229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19127579328).

10959229440 is an abundant number, since it is smaller than the sum of its proper divisors (27295929216).

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

10959229440 is a wasteful number, since it uses less digits than its factorization.

10959229440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3791 (or 3772 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 10959229440 in words is "ten billion, nine hundred fifty-nine million, two hundred twenty-nine thousand, four hundred forty".