12964384629240 has 256 divisors, whose sum is σ = 42489690117120. Its totient is φ = 3138381987840.

The previous prime is 12964384629169. The next prime is 12964384629269. The reversal of 12964384629240 is 4292648346921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4999761384 + ... + 4999763976.

It is an arithmetic number, because the mean of its divisors is an integer number (165975352020).

Almost surely, 2^{12964384629240} is an apocalyptic number.

12964384629240 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 12964384629240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21244845058560).

12964384629240 is an abundant number, since it is smaller than the sum of its proper divisors (29525305487880).

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

12964384629240 is a wasteful number, since it uses less digits than its factorization.

12964384629240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6582 (or 6578 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 60.

The spelling of 12964384629240 in words is "twelve trillion, nine hundred sixty-four billion, three hundred eighty-four million, six hundred twenty-nine thousand, two hundred forty".