11134174040 has 256 divisors, whose sum is σ = 30108672000. Its totient is φ = 3661217280.

The previous prime is 11134174001. The next prime is 11134174057. The reversal of 11134174040 is 4047143111.

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, 16895231 + ... + 16895889.

It is an arithmetic number, because the mean of its divisors is an integer number (117612000).

Almost surely, 2^11134174040 is an apocalyptic number.

11134174040 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 11134174040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15054336000).

11134174040 is an abundant number, since it is smaller than the sum of its proper divisors (18974497960).

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

11134174040 is a wasteful number, since it uses less digits than its factorization.

11134174040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The spelling of 11134174040 in words is "eleven billion, one hundred thirty-four million, one hundred seventy-four thousand, forty".