12040261440 has 224 divisors, whose sum is σ = 39420881280. Its totient is φ = 3111714816.

The previous prime is 12040261367. The next prime is 12040261447. The reversal of 12040261440 is 4416204021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12040261440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12040261447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5654296 + ... + 5656424.

Almost surely, 2^12040261440 is an apocalyptic number.

12040261440 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 12040261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19710440640).

12040261440 is an abundant number, since it is smaller than the sum of its proper divisors (27380619840).

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

12040261440 is a wasteful number, since it uses less digits than its factorization.

12040261440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12040261440 its reverse (4416204021), we get a palindrome (16456465461).

The spelling of 12040261440 in words is "twelve billion, forty million, two hundred sixty-one thousand, four hundred forty".