13611403002540 has 384 divisors, whose sum is σ = 44480969035776. Its totient is φ = 3045662208000.

The previous prime is 13611403002523. The next prime is 13611403002551. The reversal of 13611403002540 is 4520030411631.

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 = 13611403002498 and 13611403002507.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9856192650 + ... + 9856194030.

It is an arithmetic number, because the mean of its divisors is an integer number (115835856864).

Almost surely, 2^{13611403002540} is an apocalyptic number.

13611403002540 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 13611403002540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22240484517888).

13611403002540 is an abundant number, since it is smaller than the sum of its proper divisors (30869566033236).

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

13611403002540 is a wasteful number, since it uses less digits than its factorization.

13611403002540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3009 (or 3007 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 13611403002540 in words is "thirteen trillion, six hundred eleven billion, four hundred three million, two thousand, five hundred forty".