11233031040 has 1536 divisors, whose sum is σ = 53769830400. Its totient is φ = 2090188800.

The previous prime is 11233031023. The next prime is 11233031087. The reversal of 11233031040 is 4013033211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 261233259 + ... + 261233301.

It is an arithmetic number, because the mean of its divisors is an integer number (35006400).

Almost surely, 2^11233031040 is an apocalyptic number.

11233031040 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 11233031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26884915200).

11233031040 is an abundant number, since it is smaller than the sum of its proper divisors (42536799360).

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

11233031040 is a wasteful number, since it uses less digits than its factorization.

11233031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11233031040 its reverse (4013033211), we get a palindrome (15246064251).

The spelling of 11233031040 in words is "eleven billion, two hundred thirty-three million, thirty-one thousand, forty".