12459770301440 has 528 divisors, whose sum is σ = 39153245819904. Its totient is φ = 3758262681600.

The previous prime is 12459770301401. The next prime is 12459770301479. The reversal of 12459770301440 is 4410307795421.

It is an interprime number because it is at equal distance from previous prime (12459770301401) and next prime (12459770301479).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85477259 + ... + 85622901.

Almost surely, 2^{12459770301440} is an apocalyptic number.

12459770301440 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 12459770301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19576622909952).

12459770301440 is an abundant number, since it is smaller than the sum of its proper divisors (26693475518464).

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

12459770301440 is a wasteful number, since it uses less digits than its factorization.

12459770301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145724 (or 145699 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 47.

The spelling of 12459770301440 in words is "twelve trillion, four hundred fifty-nine billion, seven hundred seventy million, three hundred one thousand, four hundred forty".