334430431040 has 112 divisors (see below), whose sum is σ = 800597214144. Its totient is φ = 133062758400.

The previous prime is 334430431037. The next prime is 334430431061. The reversal of 334430431040 is 40134034433.

It is a super-2 number, since 2×334430431040² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334430430994 and 334430431012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49461260 + ... + 49468020.

It is an arithmetic number, because the mean of its divisors is an integer number (7148189412).

Almost surely, 2^334430431040 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 334430431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400298607072).

334430431040 is an abundant number, since it is smaller than the sum of its proper divisors (466166783104).

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

334430431040 is a wasteful number, since it uses less digits than its factorization.

334430431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7576 (or 7566 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 334430431040 its reverse (40134034433), we get a palindrome (374564465473).

The spelling of 334430431040 in words is "three hundred thirty-four billion, four hundred thirty million, four hundred thirty-one thousand, forty".