11719261440 has 720 divisors, whose sum is σ = 45542241360. Its totient is φ = 2866544640.

The previous prime is 11719261417. The next prime is 11719261451. The reversal of 11719261440 is 4416291711.

11719261440 is a `hidden beast` number, since 1 + 1 + 71 + 92 + 61 + 440 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 179345664 + 11539915776 = 13392^2 + 107424^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 = 11719261395 and 11719261404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 107516106 + ... + 107516214.

It is an arithmetic number, because the mean of its divisors is an integer number (63253113).

Almost surely, 2^11719261440 is an apocalyptic number.

11719261440 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 11719261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22771120680).

11719261440 is an abundant number, since it is smaller than the sum of its proper divisors (33822979920).

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

11719261440 is a wasteful number, since it uses less digits than its factorization.

11719261440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11719261440 in words is "eleven billion, seven hundred nineteen million, two hundred sixty-one thousand, four hundred forty".