335442211104 has 768 divisors, whose sum is σ = 1275119677440. Its totient is φ = 74317824000.

The previous prime is 335442211051. The next prime is 335442211129. The reversal of 335442211104 is 401112244533.

It is a super-3 number, since 3×335442211104³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74856544 + ... + 74861024.

It is an arithmetic number, because the mean of its divisors is an integer number (1660312080).

Almost surely, 2^335442211104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 335442211104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637559838720).

335442211104 is an abundant number, since it is smaller than the sum of its proper divisors (939677466336).

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

335442211104 is a wasteful number, since it uses less digits than its factorization.

335442211104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4585 (or 4577 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 335442211104 its reverse (401112244533), we get a palindrome (736554455637).

The spelling of 335442211104 in words is "three hundred thirty-five billion, four hundred forty-two million, two hundred eleven thousand, one hundred four".