1353041510544 has 120 divisors (see below), whose sum is σ = 3830435383320. Its totient is φ = 445808738304.

The previous prime is 1353041510521. The next prime is 1353041510599. The reversal of 1353041510544 is 4450151403531.

1353041510544 is a `hidden beast` number, since 1 + 3 + 53 + 0 + 41 + 510 + 54 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 377118810000 + 975922700544 = 614100^2 + 987888^2 .

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 = 1353041510499 and 1353041510508.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11240244 + ... + 11359980.

It is an arithmetic number, because the mean of its divisors is an integer number (31920294861).

Almost surely, 2^{1353041510544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353041510544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915217691660).

1353041510544 is an abundant number, since it is smaller than the sum of its proper divisors (2477393872776).

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

1353041510544 is a wasteful number, since it uses less digits than its factorization.

1353041510544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120657 (or 120648 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 1353041510544 in words is "one trillion, three hundred fifty-three billion, forty-one million, five hundred ten thousand, five hundred forty-four".