1335085440 has 256 divisors, whose sum is σ = 4642142400. Its totient is φ = 324403200.

The previous prime is 1335085421. The next prime is 1335085447. The reversal of 1335085440 is 445805331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1335085447) 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, 2221140 + ... + 2221740.

Almost surely, 2^1335085440 is an apocalyptic number.

1335085440 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 1335085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321071200).

1335085440 is an abundant number, since it is smaller than the sum of its proper divisors (3307056960).

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

1335085440 is a wasteful number, since it uses less digits than its factorization.

1335085440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 1335085440 is about 36538.8209990416. The cubic root of 1335085440 is about 1101.1243160037.

It can be divided in two parts, 13350 and 85440, that added together give a triangular number (98790 = T₄₄₄).

The spelling of 1335085440 in words is "one billion, three hundred thirty-five million, eighty-five thousand, four hundred forty".