4334212411440 has 160 divisors (see below), whose sum is σ = 13769049724416. Its totient is φ = 1127167211520.

The previous prime is 4334212411327. The next prime is 4334212411483. The reversal of 4334212411440 is 441142124334.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25963279 + ... + 26129681.

Almost surely, 2^{4334212411440} is an apocalyptic number.

4334212411440 is a gapful number since it is divisible by the number (40) 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 4334212411440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6884524862208).

4334212411440 is an abundant number, since it is smaller than the sum of its proper divisors (9434837312976).

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

4334212411440 is a wasteful number, since it uses less digits than its factorization.

4334212411440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169107 (or 169101 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 4334212411440 its reverse (441142124334), we get a palindrome (4775354535774).

The spelling of 4334212411440 in words is "four trillion, three hundred thirty-four billion, two hundred twelve million, four hundred eleven thousand, four hundred forty".