4004969757126 has 128 divisors (see below), whose sum is σ = 9160910438400. Its totient is φ = 1157068644480.

The previous prime is 4004969757091. The next prime is 4004969757133. The reversal of 4004969757126 is 6217579694004.

It is a self number, because there is not a number n which added to its sum of digits gives 4004969757126.

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 63 ways as a sum of consecutive naturals, for example, 194038315 + ... + 194058953.

It is an arithmetic number, because the mean of its divisors is an integer number (71569612800).

Almost surely, 2^{4004969757126} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4004969757126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580455219200).

4004969757126 is an abundant number, since it is smaller than the sum of its proper divisors (5155940681274).

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

4004969757126 is a wasteful number, since it uses less digits than its factorization.

4004969757126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21834.

The product of its (nonzero) digits is 22861440, while the sum is 60.

The spelling of 4004969757126 in words is "four trillion, four billion, nine hundred sixty-nine million, seven hundred fifty-seven thousand, one hundred twenty-six".