12948351085440 has 640 divisors, whose sum is σ = 47029755769920. Its totient is φ = 3394466611200.

The previous prime is 12948351085403. The next prime is 12948351085447. The reversal of 12948351085440 is 4458015384921.

12948351085440 is a `hidden beast` number, since 1 + 2 + 9 + 4 + 8 + 3 + 510 + 85 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12948351085447) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 759291954 + ... + 759309006.

Almost surely, 2^{12948351085440} is an apocalyptic number.

12948351085440 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 12948351085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23514877884960).

12948351085440 is an abundant number, since it is smaller than the sum of its proper divisors (34081404684480).

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

12948351085440 is a wasteful number, since it uses less digits than its factorization.

12948351085440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17332 (or 17311 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 12948351085440 in words is "twelve trillion, nine hundred forty-eight billion, three hundred fifty-one million, eighty-five thousand, four hundred forty".