1353044232540 has 432 divisors, whose sum is σ = 5552335099584. Its totient is φ = 259524587520.

The previous prime is 1353044232499. The next prime is 1353044232569. The reversal of 1353044232540 is 452324403531.

1353044232540 is a `hidden beast` number, since 1 + 3 + 53 + 0 + 44 + 23 + 2 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1353044232495 and 1353044232504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1640644 + ... + 2323316.

Almost surely, 2^{1353044232540} is an apocalyptic number.

1353044232540 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 1353044232540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776167549792).

1353044232540 is an abundant number, since it is smaller than the sum of its proper divisors (4199290867044).

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

1353044232540 is a wasteful number, since it uses less digits than its factorization.

1353044232540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682730 (or 682714 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 1353044232540 in words is "one trillion, three hundred fifty-three billion, forty-four million, two hundred thirty-two thousand, five hundred forty".