334125121440 has 288 divisors, whose sum is σ = 1158153691968. Its totient is φ = 80910438400.

The previous prime is 334125121403. The next prime is 334125121441. The reversal of 334125121440 is 44121521433.

It is a super-2 number, since 2×334125121440² (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 = 334125121398 and 334125121407.

It is not an unprimeable number, because it can be changed into a prime (334125121441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63362644 + ... + 63367916.

It is an arithmetic number, because the mean of its divisors is an integer number (4021366986).

Almost surely, 2^334125121440 is an apocalyptic number.

334125121440 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 334125121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579076845984).

334125121440 is an abundant number, since it is smaller than the sum of its proper divisors (824028570528).

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

334125121440 is a wasteful number, since it uses less digits than its factorization.

334125121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6404 (or 6385 counting only the distinct ones).

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

Adding to 334125121440 its reverse (44121521433), we get a palindrome (378246642873).

The spelling of 334125121440 in words is "three hundred thirty-four billion, one hundred twenty-five million, one hundred twenty-one thousand, four hundred forty".