11934865440 has 288 divisors, whose sum is σ = 41771673216. Its totient is φ = 3102105600.

The previous prime is 11934865427. The next prime is 11934865441. The reversal of 11934865440 is 4456843911.

11934865440 is a `hidden beast` number, since 11 + 93 + 4 + 8 + 6 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (11934865441) 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, 9936840 + ... + 9938040.

It is an arithmetic number, because the mean of its divisors is an integer number (145040532).

Almost surely, 2^11934865440 is an apocalyptic number.

11934865440 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 11934865440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20885836608).

11934865440 is an abundant number, since it is smaller than the sum of its proper divisors (29836807776).

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

11934865440 is a wasteful number, since it uses less digits than its factorization.

11934865440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

It can be divided in two parts, 1193486 and 5440, that added together give a triangular number (1198926 = T₁₅₄₈).

The spelling of 11934865440 in words is "eleven billion, nine hundred thirty-four million, eight hundred sixty-five thousand, four hundred forty".