4013302014414 has 192 divisors, whose sum is σ = 11117774333952. Its totient is φ = 1015999718400.

The previous prime is 4013302014383. The next prime is 4013302014427. The reversal of 4013302014414 is 4144102033104.

4013302014414 is a `hidden beast` number, since 4 + 0 + 13 + 3 + 0 + 201 + 441 + 4 = 666.

It is a super-2 number, since 2×4013302014414² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15571404 + ... + 15827040.

It is an arithmetic number, because the mean of its divisors is an integer number (57905074656).

Almost surely, 2^{4013302014414} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4013302014414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5558887166976).

4013302014414 is an abundant number, since it is smaller than the sum of its proper divisors (7104472319538).

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

4013302014414 is a wasteful number, since it uses less digits than its factorization.

4013302014414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255951 (or 255948 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4013302014414 its reverse (4144102033104), we get a palindrome (8157404047518).

The spelling of 4013302014414 in words is "four trillion, thirteen billion, three hundred two million, fourteen thousand, four hundred fourteen".