11034737611040 has 768 divisors, whose sum is σ = 32333757603840. Its totient is φ = 3501656801280.

The previous prime is 11034737611039. The next prime is 11034737611069. The reversal of 11034737611040 is 4011673743011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11034737610985 and 11034737611003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26979798356 + ... + 26979798764.

It is an arithmetic number, because the mean of its divisors is an integer number (42101246880).

Almost surely, 2^{11034737611040} is an apocalyptic number.

11034737611040 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 11034737611040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16166878801920).

11034737611040 is an abundant number, since it is smaller than the sum of its proper divisors (21299019992800).

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

11034737611040 is a wasteful number, since it uses less digits than its factorization.

11034737611040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The spelling of 11034737611040 in words is "eleven trillion, thirty-four billion, seven hundred thirty-seven million, six hundred eleven thousand, forty".