11129224440 has 256 divisors, whose sum is σ = 36180172800. Its totient is φ = 2732083200.

The previous prime is 11129224433. The next prime is 11129224453. The reversal of 11129224440 is 4442292111.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11129224398 and 11129224407.

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, 7658754 + ... + 7660206.

It is an arithmetic number, because the mean of its divisors is an integer number (141328800).

Almost surely, 2^11129224440 is an apocalyptic number.

11129224440 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 11129224440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18090086400).

11129224440 is an abundant number, since it is smaller than the sum of its proper divisors (25050948360).

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

11129224440 is a wasteful number, since it uses less digits than its factorization.

11129224440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 11129224440 in words is "eleven billion, one hundred twenty-nine million, two hundred twenty-four thousand, four hundred forty".