13530331375440 has 240 divisors, whose sum is σ = 45948292746048. Its totient is φ = 3266433024000.

The previous prime is 13530331375417. The next prime is 13530331375511. The reversal of 13530331375440 is 4457313303531.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13530331375392 and 13530331375401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153289720 + ... + 153377960.

Almost surely, 2^{13530331375440} is an apocalyptic number.

13530331375440 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 13530331375440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22974146373024).

13530331375440 is an abundant number, since it is smaller than the sum of its proper divisors (32417961370608).

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

13530331375440 is a wasteful number, since it uses less digits than its factorization.

13530331375440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88750 (or 88503 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 42.

Adding to 13530331375440 its reverse (4457313303531), we get a palindrome (17987644678971).

The spelling of 13530331375440 in words is "thirteen trillion, five hundred thirty billion, three hundred thirty-one million, three hundred seventy-five thousand, four hundred forty".