1353444040872 has 384 divisors, whose sum is σ = 4976494848000. Its totient is φ = 321556677120.

The previous prime is 1353444040867. The next prime is 1353444040937. The reversal of 1353444040872 is 2780404443531.

1353444040872 is a `hidden beast` number, since 1 + 3 + 534 + 4 + 4 + 0 + 40 + 8 + 72 = 666.

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 95 ways as a sum of consecutive naturals, for example, 2833213 + ... + 3276275.

It is an arithmetic number, because the mean of its divisors is an integer number (12959622000).

Almost surely, 2^{1353444040872} is an apocalyptic number.

1353444040872 is a gapful number since it is divisible by the number (12) 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 1353444040872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488247424000).

1353444040872 is an abundant number, since it is smaller than the sum of its proper divisors (3623050807128).

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

1353444040872 is a wasteful number, since it uses less digits than its factorization.

1353444040872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443141 (or 443134 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 1353444040872 in words is "one trillion, three hundred fifty-three billion, four hundred forty-four million, forty thousand, eight hundred seventy-two".