334241333040 has 160 divisors (see below), whose sum is σ = 1045693071360. Its totient is φ = 88311831552.

The previous prime is 334241332969. The next prime is 334241333053. The reversal of 334241333040 is 40333142433.

It is a super-2 number, since 2×334241333040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 334241332989 and 334241333007.

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, 24285681 + ... + 24299439.

It is an arithmetic number, because the mean of its divisors is an integer number (6535581696).

Almost surely, 2^334241333040 is an apocalyptic number.

334241333040 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 334241333040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522846535680).

334241333040 is an abundant number, since it is smaller than the sum of its proper divisors (711451738320).

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

334241333040 is a wasteful number, since it uses less digits than its factorization.

334241333040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14699 (or 14693 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 334241333040 its reverse (40333142433), we get a palindrome (374574475473).

The spelling of 334241333040 in words is "three hundred thirty-four billion, two hundred forty-one million, three hundred thirty-three thousand, forty".