13257279901440 has 1080 divisors, whose sum is σ = 50477364241920. Its totient is φ = 3321644433408.

The previous prime is 13257279901387. The next prime is 13257279901487. The reversal of 13257279901440 is 4410997275231.

13257279901440 is a `hidden beast` number, since 1 + 325 + 7 + 279 + 9 + 0 + 1 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×13257279901440² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4753415566 + ... + 4753418354.

It is an arithmetic number, because the mean of its divisors is an integer number (46738300224).

Almost surely, 2^{13257279901440} is an apocalyptic number.

13257279901440 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 13257279901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25238682120960).

13257279901440 is an abundant number, since it is smaller than the sum of its proper divisors (37220084340480).

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

13257279901440 is a wasteful number, since it uses less digits than its factorization.

13257279901440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2987 (or 2945 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 13257279901440 in words is "thirteen trillion, two hundred fifty-seven billion, two hundred seventy-nine million, nine hundred one thousand, four hundred forty".