11034153040 has 80 divisors (see below), whose sum is σ = 26024044176. Its totient is φ = 4350464000.

The previous prime is 11034153029. The next prime is 11034153041. The reversal of 11034153040 is 4035143011.

It can be written as a sum of positive squares in 8 ways, for example, as 16711744 + 11017441296 = 4088^2 + 104964^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11034153041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1879710 + ... + 1885570.

Almost surely, 2^11034153040 is an apocalyptic number.

11034153040 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 11034153040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13012022088).

11034153040 is an abundant number, since it is smaller than the sum of its proper divisors (14989891136).

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

11034153040 is a wasteful number, since it uses less digits than its factorization.

11034153040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6208 (or 6202 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 11034153040 its reverse (4035143011), we get a palindrome (15069296051).

The spelling of 11034153040 in words is "eleven billion, thirty-four million, one hundred fifty-three thousand, forty".