334010105040 has 160 divisors (see below), whose sum is σ = 1080827608320. Its totient is φ = 85167013888.

The previous prime is 334010105021. The next prime is 334010105053. The reversal of 334010105040 is 40501010433.

It is a super-2 number, since 2×334010105040² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334010104998 and 334010105016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18830896 + ... + 18848624.

It is an arithmetic number, because the mean of its divisors is an integer number (6755172552).

Almost surely, 2^334010105040 is an apocalyptic number.

334010105040 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 334010105040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540413804160).

334010105040 is an abundant number, since it is smaller than the sum of its proper divisors (746817503280).

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

334010105040 is a wasteful number, since it uses less digits than its factorization.

334010105040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21181 (or 21175 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 334010105040 its reverse (40501010433), we get a palindrome (374511115473).

The spelling of 334010105040 in words is "three hundred thirty-four billion, ten million, one hundred five thousand, forty".