335104145440 has 192 divisors, whose sum is σ = 840998077920. Its totient is φ = 125956096000.

The previous prime is 335104145407. The next prime is 335104145471. The reversal of 335104145440 is 44541401533.

It can be written as a sum of positive squares in 16 ways, for example, as 11993754256 + 323110391184 = 109516^2 + 568428^2 .

It is a super-2 number, since 2×335104145440² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 335104145396 and 335104145405.

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, 87698730 + ... + 87702550.

Almost surely, 2^335104145440 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 335104145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420499038960).

335104145440 is an abundant number, since it is smaller than the sum of its proper divisors (505893932480).

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

335104145440 is a wasteful number, since it uses less digits than its factorization.

335104145440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4367 (or 4359 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 335104145440 its reverse (44541401533), we get a palindrome (379645546973).

The spelling of 335104145440 in words is "three hundred thirty-five billion, one hundred four million, one hundred forty-five thousand, four hundred forty".