1335840000 has 540 divisors, whose sum is σ = 5095593888. Its totient is φ = 309760000.

The previous prime is 1335839987. The next prime is 1335840007. The reversal of 1335840000 is 485331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1335840007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 58079989 + ... + 58080011.

Almost surely, 2^1335840000 is an apocalyptic number.

1335840000 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 1335840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547796944).

1335840000 is an abundant number, since it is smaller than the sum of its proper divisors (3759753888).

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

1335840000 is an equidigital number, since it uses as much as digits as its factorization.

1335840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1335840000 is about 36549.1449968395. The cubic root of 1335840000 is about 1101.3317204288.

The spelling of 1335840000 in words is "one billion, three hundred thirty-five million, eight hundred forty thousand".