13264439912640 has 672 divisors, whose sum is σ = 55176705292800. Its totient is φ = 3031865883648.

The previous prime is 13264439912621. The next prime is 13264439912687. The reversal of 13264439912640 is 4621993446231.

It is a happy number.

13264439912640 is a `hidden beast` number, since 1 + 3 + 2 + 64 + 439 + 91 + 2 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26423019 + ... + 26920341.

It is an arithmetic number, because the mean of its divisors is an integer number (82108192400).

Almost surely, 2^{13264439912640} is an apocalyptic number.

13264439912640 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 13264439912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27588352646400).

13264439912640 is an abundant number, since it is smaller than the sum of its proper divisors (41912265380160).

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

13264439912640 is an frugal number, since it uses more digits than its factorization.

13264439912640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497376 (or 497340 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 13264439912640 in words is "thirteen trillion, two hundred sixty-four billion, four hundred thirty-nine million, nine hundred twelve thousand, six hundred forty".