4121912340 has 576 divisors, whose sum is σ = 16795537920. Its totient is φ = 830269440.

The previous prime is 4121912323. The next prime is 4121912341. The reversal of 4121912340 is 432191214.

It is a happy number.

4121912340 is a `hidden beast` number, since 412 + 19 + 1 + 234 + 0 = 666.

It is a super-2 number, since 2×4121912340² = 33980322677288551200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4121912341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7911280 + ... + 7911800.

It is an arithmetic number, because the mean of its divisors is an integer number (29158920).

Almost surely, 2^4121912340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4121912340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8397768960).

4121912340 is an abundant number, since it is smaller than the sum of its proper divisors (12673625580).

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

4121912340 is a wasteful number, since it uses less digits than its factorization.

4121912340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4121912340 is about 64202.1209930015. The cubic root of 4121912340 is about 1603.3669125718.

The spelling of 4121912340 in words is "four billion, one hundred twenty-one million, nine hundred twelve thousand, three hundred forty".