335040000000 has 416 divisors, whose sum is σ = 1119860414400. Its totient is φ = 89088000000.

The previous prime is 335039999951. The next prime is 335040000019. The reversal of 335040000000 is 40533.

It is a super-2 number, since 2×335040000000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 959999826 + ... + 960000174.

It is an arithmetic number, because the mean of its divisors is an integer number (2691972150).

Almost surely, 2^335040000000 is an apocalyptic number.

335040000000 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 335040000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559930207200).

335040000000 is an abundant number, since it is smaller than the sum of its proper divisors (784820414400).

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

335040000000 is an frugal number, since it uses more digits than its factorization.

335040000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

Adding to 335040000000 its reverse (40533), we get a palindrome (335040040533).

The spelling of 335040000000 in words is "three hundred thirty-five billion, forty million", and thus it is an aban number.