11720962440 has 480 divisors, whose sum is σ = 45407640960. Its totient is φ = 2688940800.

The previous prime is 11720962397. The next prime is 11720962441. The reversal of 11720962440 is 4426902711.

It is a happy number.

11720962440 is a `hidden beast` number, since 1 + 1 + 7 + 20 + 9 + 624 + 4 + 0 = 666.

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 = 11720962395 and 11720962404.

It is not an unprimeable number, because it can be changed into a prime (11720962441) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12865585 + ... + 12866495.

It is an arithmetic number, because the mean of its divisors is an integer number (94599252).

Almost surely, 2^11720962440 is an apocalyptic number.

11720962440 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 11720962440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22703820480).

11720962440 is an abundant number, since it is smaller than the sum of its proper divisors (33686678520).

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

11720962440 is a wasteful number, since it uses less digits than its factorization.

11720962440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 11720962440 in words is "eleven billion, seven hundred twenty million, nine hundred sixty-two thousand, four hundred forty".