1335205040 has 160 divisors (see below), whose sum is σ = 3476235840. Its totient is φ = 473776128.

The previous prime is 1335205019. The next prime is 1335205043. The reversal of 1335205040 is 405025331.

It is a junction number, because it is equal to n+sod(n) for n = 1335204997 and 1335205015.

It is not an unprimeable number, because it can be changed into a prime (1335205043) 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, 3264356 + ... + 3264764.

It is an arithmetic number, because the mean of its divisors is an integer number (21726474).

Almost surely, 2^1335205040 is an apocalyptic number.

1335205040 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 1335205040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738117920).

1335205040 is an abundant number, since it is smaller than the sum of its proper divisors (2141030800).

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

1335205040 is a wasteful number, since it uses less digits than its factorization.

1335205040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 1335205040 is about 36540.4575778684. The cubic root of 1335205040 is about 1101.1571954315.

The spelling of 1335205040 in words is "one billion, three hundred thirty-five million, two hundred five thousand, forty".