334121134033440 has 144 divisors (see below), whose sum is σ = 1227895167641688. Its totient is φ = 82245202219008.

The previous prime is 334121134033363. The next prime is 334121134033441. The reversal of 334121134033440 is 44330431121433.

334121134033440 is a `hidden beast` number, since 3 + 3 + 4 + 1 + 211 + 3 + 403 + 34 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 275517638428176 + 58603495605264 = 16598724^2 + 7655292^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×334121134033440² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 334121134033395 and 334121134033404.

It is not an unprimeable number, because it can be changed into a prime (334121134033441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8924156869 + ... + 8924194308.

Almost surely, 2^{334121134033440} is an apocalyptic number.

334121134033440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334121134033440 is an abundant number, since it is smaller than the sum of its proper divisors (893774033608248).

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

334121134033440 is a wasteful number, since it uses less digits than its factorization.

334121134033440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17848351211 (or 17848351200 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 334121134033440 its reverse (44330431121433), we get a palindrome (378451565154873).

The spelling of 334121134033440 in words is "three hundred thirty-four trillion, one hundred twenty-one billion, one hundred thirty-four million, thirty-three thousand, four hundred forty".