11964259440 has 240 divisors, whose sum is σ = 47938851360. Its totient is φ = 2734663680.

The previous prime is 11964259429. The next prime is 11964259441. The reversal of 11964259440 is 4495246911.

11964259440 is a `hidden beast` number, since 1 + 19 + 6 + 4 + 2 + 594 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×11964259440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11964259441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49320 + ... + 162360.

It is an arithmetic number, because the mean of its divisors is an integer number (199745214).

Almost surely, 2^11964259440 is an apocalyptic number.

11964259440 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 11964259440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23969425680).

11964259440 is an abundant number, since it is smaller than the sum of its proper divisors (35974591920).

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

11964259440 is a wasteful number, since it uses less digits than its factorization.

11964259440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113077 (or 113058 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 11964259440 in words is "eleven billion, nine hundred sixty-four million, two hundred fifty-nine thousand, four hundred forty".