13535401440 has 96 divisors (see below), whose sum is σ = 46512579456. Its totient is φ = 3281308160.

The previous prime is 13535401427. The next prime is 13535401493. The reversal of 13535401440 is 4410453531.

13535401440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×13535401440⁴ (a number of 42 digits) contains 4444 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 = 13535401398 and 13535401407.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1276482 + ... + 1287041.

It is an arithmetic number, because the mean of its divisors is an integer number (484506036).

Almost surely, 2^13535401440 is an apocalyptic number.

13535401440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13535401440 is an abundant number, since it is smaller than the sum of its proper divisors (32977178016).

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

13535401440 is a wasteful number, since it uses less digits than its factorization.

13535401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563552 (or 2563544 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 13535401440 its reverse (4410453531), we get a palindrome (17945854971).

The spelling of 13535401440 in words is "thirteen billion, five hundred thirty-five million, four hundred one thousand, four hundred forty".