1353011201440 has 24 divisors (see below), whose sum is σ = 3196488963780. Its totient is φ = 541204480512.

The previous prime is 1353011201413. The next prime is 1353011201461. The reversal of 1353011201440 is 441021103531.

It can be written as a sum of positive squares in 2 ways, for example, as 1107284780176 + 245726421264 = 1052276^2 + 495708^2 .

It is a super-2 number, since 2×1353011201440² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4228159845 + ... + 4228160164.

Almost surely, 2^{1353011201440} is an apocalyptic number.

1353011201440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353011201440 is an abundant number, since it is smaller than the sum of its proper divisors (1843477762340).

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

1353011201440 is an equidigital number, since it uses as much as digits as its factorization.

1353011201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8456320024 (or 8456320016 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 1353011201440 its reverse (441021103531), we get a palindrome (1794032304971).

The spelling of 1353011201440 in words is "one trillion, three hundred fifty-three billion, eleven million, two hundred one thousand, four hundred forty".