11721440640 has 512 divisors, whose sum is σ = 46664755200. Its totient is φ = 2436562944.

The previous prime is 11721440617. The next prime is 11721440683. The reversal of 11721440640 is 4604412711.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11721440598 and 11721440607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12754101 + ... + 12755019.

It is an arithmetic number, because the mean of its divisors is an integer number (91142100).

Almost surely, 2^11721440640 is an apocalyptic number.

11721440640 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 11721440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23332377600).

11721440640 is an abundant number, since it is smaller than the sum of its proper divisors (34943314560).

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

11721440640 is a wasteful number, since it uses less digits than its factorization.

11721440640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 11721440640 in words is "eleven billion, seven hundred twenty-one million, four hundred forty thousand, six hundred forty".