13125535403440 has 40 divisors (see below), whose sum is σ = 31261183718688. Its totient is φ = 5122160156160.

The previous prime is 13125535403437. The next prime is 13125535403489. The reversal of 13125535403440 is 4430453552131.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 13125535403393 and 13125535403402.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2000840532 + ... + 2000847091.

Almost surely, 2^{13125535403440} is an apocalyptic number.

13125535403440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13125535403440 is an abundant number, since it is smaller than the sum of its proper divisors (18135648315248).

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

13125535403440 is a wasteful number, since it uses less digits than its factorization.

13125535403440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4001687677 (or 4001687671 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

Adding to 13125535403440 its reverse (4430453552131), we get a palindrome (17555988955571).

The spelling of 13125535403440 in words is "thirteen trillion, one hundred twenty-five billion, five hundred thirty-five million, four hundred three thousand, four hundred forty".