1353041399808 has 936 divisors, whose sum is σ = 4771719603456. Its totient is φ = 367873228800.

The previous prime is 1353041399771. The next prime is 1353041399851. The reversal of 1353041399808 is 8089931403531.

1353041399808 is a `hidden beast` number, since 1 + 3 + 530 + 4 + 13 + 9 + 98 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4087738203 + ... + 4087738533.

Almost surely, 2^{1353041399808} is an apocalyptic number.

1353041399808 is a gapful number since it is divisible by the number (18) 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 1353041399808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2385859801728).

1353041399808 is an abundant number, since it is smaller than the sum of its proper divisors (3418678203648).

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

1353041399808 is a wasteful number, since it uses less digits than its factorization.

1353041399808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 1353041399808 in words is "one trillion, three hundred fifty-three billion, forty-one million, three hundred ninety-nine thousand, eight hundred eight".