11701249440 has 384 divisors, whose sum is σ = 39589482240. Its totient is φ = 2899771392.

The previous prime is 11701249409. The next prime is 11701249493. The reversal of 11701249440 is 4494210711.

11701249440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 67637194 + ... + 67637366.

It is an arithmetic number, because the mean of its divisors is an integer number (103097610).

Almost surely, 2^11701249440 is an apocalyptic number.

11701249440 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 11701249440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19794741120).

11701249440 is an abundant number, since it is smaller than the sum of its proper divisors (27888232800).

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

11701249440 is a wasteful number, since it uses less digits than its factorization.

11701249440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 11701249440 in words is "eleven billion, seven hundred one million, two hundred forty-nine thousand, four hundred forty".