11033051040 has 288 divisors, whose sum is σ = 42447343680. Its totient is φ = 2674552320.

The previous prime is 11033051027. The next prime is 11033051041. The reversal of 11033051040 is 4015033011.

11033051040 is a `hidden beast` number, since 110 + 3 + 3 + 0 + 510 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (11033051041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 512167 + ... + 533273.

It is an arithmetic number, because the mean of its divisors is an integer number (147386610).

Almost surely, 2^11033051040 is an apocalyptic number.

11033051040 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 11033051040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21223671840).

11033051040 is an abundant number, since it is smaller than the sum of its proper divisors (31414292640).

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

11033051040 is a wasteful number, since it uses less digits than its factorization.

11033051040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21153 (or 21128 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 11033051040 its reverse (4015033011), we get a palindrome (15048084051).

The spelling of 11033051040 in words is "eleven billion, thirty-three million, fifty-one thousand, forty".