13162464125440 has 320 divisors, whose sum is σ = 37988021111040. Its totient is φ = 4272823664640.

The previous prime is 13162464125431. The next prime is 13162464125477. The reversal of 13162464125440 is 4452146426131.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 633622894 + ... + 633643666.

It is an arithmetic number, because the mean of its divisors is an integer number (118712565972).

Almost surely, 2^{13162464125440} is an apocalyptic number.

13162464125440 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 13162464125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18994010555520).

13162464125440 is an abundant number, since it is smaller than the sum of its proper divisors (24825556985600).

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

13162464125440 is a wasteful number, since it uses less digits than its factorization.

13162464125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22683 (or 22667 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 43.

The spelling of 13162464125440 in words is "thirteen trillion, one hundred sixty-two billion, four hundred sixty-four million, one hundred twenty-five thousand, four hundred forty".