4214134113040 has 20 divisors (see below), whose sum is σ = 9797861813004. Its totient is φ = 1685653645184.

The previous prime is 4214134113023. The next prime is 4214134113097. The reversal of 4214134113040 is 403114314124.

It can be written as a sum of positive squares in 2 ways, for example, as 3336569850384 + 877564262656 = 1826628^2 + 936784^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26338338127 + ... + 26338338286.

Almost surely, 2^{4214134113040} is an apocalyptic number.

4214134113040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4214134113040 is an abundant number, since it is smaller than the sum of its proper divisors (5583727699964).

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

4214134113040 is a wasteful number, since it uses less digits than its factorization.

4214134113040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52676676426 (or 52676676420 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 4214134113040 its reverse (403114314124), we get a palindrome (4617248427164).

The spelling of 4214134113040 in words is "four trillion, two hundred fourteen billion, one hundred thirty-four million, one hundred thirteen thousand, forty".