11749317440 has 448 divisors, whose sum is σ = 36025896960. Its totient is φ = 3556638720.

The previous prime is 11749317431. The next prime is 11749317443. The reversal of 11749317440 is 4471394711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11749317443) 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, 43677626 + ... + 43677894.

Almost surely, 2^11749317440 is an apocalyptic number.

11749317440 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 11749317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18012948480).

11749317440 is an abundant number, since it is smaller than the sum of its proper divisors (24276579520).

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

11749317440 is a wasteful number, since it uses less digits than its factorization.

11749317440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The spelling of 11749317440 in words is "eleven billion, seven hundred forty-nine million, three hundred seventeen thousand, four hundred forty".