4061636115264 has 1120 divisors, whose sum is σ = 15666727802880. Its totient is φ = 1010376364032.

The previous prime is 4061636115259. The next prime is 4061636115337. The reversal of 4061636115264 is 4625116361604.

4061636115264 is a `hidden beast` number, since 4 + 0 + 6 + 1 + 6 + 3 + 611 + 5 + 26 + 4 = 666.

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 159 ways as a sum of consecutive naturals, for example, 2357303907 + ... + 2357305629.

It is an arithmetic number, because the mean of its divisors is an integer number (13988149824).

Almost surely, 2^{4061636115264} 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 4061636115264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7833363901440).

4061636115264 is an abundant number, since it is smaller than the sum of its proper divisors (11605091687616).

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

4061636115264 is a wasteful number, since it uses less digits than its factorization.

4061636115264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 4061636115264 in words is "four trillion, sixty-one billion, six hundred thirty-six million, one hundred fifteen thousand, two hundred sixty-four".