4084252413696 has 432 divisors, whose sum is σ = 14830512592896. Its totient is φ = 1052112789504.

The previous prime is 4084252413667. The next prime is 4084252413701. The reversal of 4084252413696 is 6963142524804.

4084252413696 is a `hidden beast` number, since 4 + 0 + 8 + 42 + 524 + 13 + 69 + 6 = 666.

It is a super-2 number, since 2×4084252413696² (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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8789041 + ... + 9242063.

Almost surely, 2^{4084252413696} 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 4084252413696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7415256296448).

4084252413696 is an abundant number, since it is smaller than the sum of its proper divisors (10746260179200).

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

4084252413696 is a wasteful number, since it uses less digits than its factorization.

4084252413696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453108 (or 453091 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 4084252413696 in words is "four trillion, eighty-four billion, two hundred fifty-two million, four hundred thirteen thousand, six hundred ninety-six".