334113123540 has 192 divisors, whose sum is σ = 1102664908800. Its totient is φ = 73992973824.

The previous prime is 334113123521. The next prime is 334113123551. The reversal of 334113123540 is 45321311433.

It is a happy number.

334113123540 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×334113123540² (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 = 334113123498 and 334113123507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3669081 + ... + 3759039.

It is an arithmetic number, because the mean of its divisors is an integer number (5743046400).

Almost surely, 2^334113123540 is an apocalyptic number.

334113123540 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 334113123540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551332454400).

334113123540 is an abundant number, since it is smaller than the sum of its proper divisors (768551785260).

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

334113123540 is a wasteful number, since it uses less digits than its factorization.

334113123540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90254 (or 90252 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 334113123540 its reverse (45321311433), we get a palindrome (379434434973).

The spelling of 334113123540 in words is "three hundred thirty-four billion, one hundred thirteen million, one hundred twenty-three thousand, five hundred forty".