4261106011624 has 96 divisors (see below), whose sum is σ = 10488520159200. Its totient is φ = 1602923844480.

The previous prime is 4261106011619. The next prime is 4261106011633.

4261106011624 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 4261106011624.

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 23 ways as a sum of consecutive naturals, for example, 16912834 + ... + 17162929.

It is an arithmetic number, because the mean of its divisors is an integer number (109255418325).

Almost surely, 2^{4261106011624} is an apocalyptic number.

4261106011624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4261106011624 is an abundant number, since it is smaller than the sum of its proper divisors (6227414147576).

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

4261106011624 is a wasteful number, since it uses less digits than its factorization.

4261106011624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34075823 (or 34075812 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 4261106011624 in words is "four trillion, two hundred sixty-one billion, one hundred six million, eleven thousand, six hundred twenty-four".