11791072440 has 384 divisors, whose sum is σ = 46635264000. Its totient is φ = 2523654144.

The previous prime is 11791072417. The next prime is 11791072463. The reversal of 11791072440 is 4427019711.

It is an interprime number because it is at equal distance from previous prime (11791072417) and next prime (11791072463).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11791072395 and 11791072404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4259937 + ... + 4262703.

It is an arithmetic number, because the mean of its divisors is an integer number (121446000).

Almost surely, 2^11791072440 is an apocalyptic number.

11791072440 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 11791072440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23317632000).

11791072440 is an abundant number, since it is smaller than the sum of its proper divisors (34844191560).

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

11791072440 is a wasteful number, since it uses less digits than its factorization.

11791072440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 11791072440 in words is "eleven billion, seven hundred ninety-one million, seventy-two thousand, four hundred forty".