1353335040 has 432 divisors, whose sum is σ = 5133710400. Its totient is φ = 340402176.

The previous prime is 1353335033. The next prime is 1353335069. The reversal of 1353335040 is 405333531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1353334995 and 1353335013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5909646 + ... + 5909874.

Almost surely, 2^1353335040 is an apocalyptic number.

1353335040 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 1353335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566855200).

1353335040 is an abundant number, since it is smaller than the sum of its proper divisors (3780375360).

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

1353335040 is an equidigital number, since it uses as much as digits as its factorization.

1353335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 1353335040 is about 36787.7022930218. The cubic root of 1353335040 is about 1106.1188043208.

Adding to 1353335040 its reverse (405333531), we get a palindrome (1758668571).

The spelling of 1353335040 in words is "one billion, three hundred fifty-three million, three hundred thirty-five thousand, forty".