12302651545440 has 768 divisors, whose sum is σ = 42452779622400. Its totient is φ = 2986001694720.

The previous prime is 12302651545439. The next prime is 12302651545447. The reversal of 12302651545440 is 4454515620321.

12302651545440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12302651545392 and 12302651545401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12302651545447) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7424653092 + ... + 7424654748.

It is an arithmetic number, because the mean of its divisors is an integer number (55277056800).

Almost surely, 2^{12302651545440} is an apocalyptic number.

12302651545440 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 12302651545440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21226389811200).

12302651545440 is an abundant number, since it is smaller than the sum of its proper divisors (30150128076960).

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

12302651545440 is a wasteful number, since it uses less digits than its factorization.

12302651545440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 12302651545440 in words is "twelve trillion, three hundred two billion, six hundred fifty-one million, five hundred forty-five thousand, four hundred forty".