12641341440 has 1248 divisors, whose sum is σ = 56474651520. Its totient is φ = 2378170368.

The previous prime is 12641341439. The next prime is 12641341451. The reversal of 12641341440 is 4414314621.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×12641341440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12641341398 and 12641341407.

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, 665333751 + ... + 665333769.

Almost surely, 2^12641341440 is an apocalyptic number.

12641341440 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 12641341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28237325760).

12641341440 is an abundant number, since it is smaller than the sum of its proper divisors (43833310080).

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

12641341440 is a wasteful number, since it uses less digits than its factorization.

12641341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 12641341440 in words is "twelve billion, six hundred forty-one million, three hundred forty-one thousand, four hundred forty".