12406141440 has 1440 divisors, whose sum is σ = 58072158144. Its totient is φ = 2508226560.

The previous prime is 12406141421. The next prime is 12406141457. The reversal of 12406141440 is 4414160421.

12406141440 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 614 + 1 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 335301102 + ... + 335301138.

Almost surely, 2^12406141440 is an apocalyptic number.

12406141440 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 12406141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29036079072).

12406141440 is an abundant number, since it is smaller than the sum of its proper divisors (45666016704).

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

12406141440 is an equidigital number, since it uses as much as digits as its factorization.

12406141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 12406141440 in words is "twelve billion, four hundred six million, one hundred forty-one thousand, four hundred forty".