11349246040 has 256 divisors, whose sum is σ = 30098718720. Its totient is φ = 3810301440.

The previous prime is 11349246037. The next prime is 11349246047. The reversal of 11349246040 is 4064294311.

It is a junction number, because it is equal to n+sod(n) for n = 11349245987 and 11349246005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11349246047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50893369 + ... + 50893591.

It is an arithmetic number, because the mean of its divisors is an integer number (117573120).

Almost surely, 2^11349246040 is an apocalyptic number.

11349246040 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 11349246040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15049359360).

11349246040 is an abundant number, since it is smaller than the sum of its proper divisors (18749472680).

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

11349246040 is a wasteful number, since it uses less digits than its factorization.

11349246040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 11349246040 in words is "eleven billion, three hundred forty-nine million, two hundred forty-six thousand, forty".