335004135000 has 160 divisors (see below), whose sum is σ = 1080314188800. Its totient is φ = 86452560000.

The previous prime is 335004134981. The next prime is 335004135017. The reversal of 335004135000 is 531400533.

It is a happy number.

It is a super-2 number, since 2×335004135000² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 104781 + ... + 825219.

It is an arithmetic number, because the mean of its divisors is an integer number (6751963680).

Almost surely, 2^335004135000 is an apocalyptic number.

335004135000 is a gapful number since it is divisible by the number (30) 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 335004135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540157094400).

335004135000 is an abundant number, since it is smaller than the sum of its proper divisors (745310053800).

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

335004135000 is a wasteful number, since it uses less digits than its factorization.

335004135000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720499 (or 720480 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

Adding to 335004135000 its reverse (531400533), we get a palindrome (335535535533).

The spelling of 335004135000 in words is "three hundred thirty-five billion, four million, one hundred thirty-five thousand".