334483111040 has 128 divisors (see below), whose sum is σ = 911788481520. Its totient is φ = 116236615680.

The previous prime is 334483111033. The next prime is 334483111051. The reversal of 334483111040 is 40111384433.

It can be written as a sum of positive squares in 8 ways, for example, as 115062067264 + 219421043776 = 339208^2 + 468424^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×334483111040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 334483110988 and 334483111006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1040981 + ... + 1323860.

Almost surely, 2^334483111040 is an apocalyptic number.

It is an amenable number.

334483111040 is an abundant number, since it is smaller than the sum of its proper divisors (577305370480).

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

334483111040 is a wasteful number, since it uses less digits than its factorization.

334483111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364890 (or 2364878 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 334483111040 its reverse (40111384433), we get a palindrome (374594495473).

The spelling of 334483111040 in words is "three hundred thirty-four billion, four hundred eighty-three million, one hundred eleven thousand, forty".