11289529440 has 768 divisors, whose sum is σ = 48625920000. Its totient is φ = 2438553600.

The previous prime is 11289529423. The next prime is 11289529481. The reversal of 11289529440 is 4492598211.

It is a happy number.

11289529440 is a `hidden beast` number, since 1 + 1 + 2 + 89 + 529 + 4 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28153240 + ... + 28153640.

It is an arithmetic number, because the mean of its divisors is an integer number (63315000).

Almost surely, 2^11289529440 is an apocalyptic number.

11289529440 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 11289529440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24312960000).

11289529440 is an abundant number, since it is smaller than the sum of its proper divisors (37336390560).

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

11289529440 is a wasteful number, since it uses less digits than its factorization.

11289529440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 11289529440 in words is "eleven billion, two hundred eighty-nine million, five hundred twenty-nine thousand, four hundred forty".