1353442636320 has 192 divisors, whose sum is σ = 4304740567680. Its totient is φ = 357429936128.

The previous prime is 1353442636303. The next prime is 1353442636327. The reversal of 1353442636320 is 236362443531.

It is not an unprimeable number, because it can be changed into a prime (1353442636327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21309571 + ... + 21372989.

It is an arithmetic number, because the mean of its divisors is an integer number (22420523790).

Almost surely, 2^{1353442636320} is an apocalyptic number.

1353442636320 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 1353442636320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152370283840).

1353442636320 is an abundant number, since it is smaller than the sum of its proper divisors (2951297931360).

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

1353442636320 is a wasteful number, since it uses less digits than its factorization.

1353442636320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63867 (or 63859 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 42.

The spelling of 1353442636320 in words is "one trillion, three hundred fifty-three billion, four hundred forty-two million, six hundred thirty-six thousand, three hundred twenty".