12434596669440 has 1152 divisors, whose sum is σ = 48045314903040. Its totient is φ = 2948884070400.

The previous prime is 12434596669403. The next prime is 12434596669457. The reversal of 12434596669440 is 4496669543421.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14408570449 + ... + 14408571311.

It is an arithmetic number, because the mean of its divisors is an integer number (41706002520).

Almost surely, 2^{12434596669440} is an apocalyptic number.

12434596669440 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 12434596669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24022657451520).

12434596669440 is an abundant number, since it is smaller than the sum of its proper divisors (35610718233600).

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

12434596669440 is a wasteful number, since it uses less digits than its factorization.

12434596669440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 12434596669440 in words is "twelve trillion, four hundred thirty-four billion, five hundred ninety-six million, six hundred sixty-nine thousand, four hundred forty".