4408679771136 has 352 divisors, whose sum is σ = 13871732952000. Its totient is φ = 1380527898624.

The previous prime is 4408679771059. The next prime is 4408679771141. The reversal of 4408679771136 is 6311779768044.

4408679771136 is a `hidden beast` number, since 4 + 408 + 6 + 7 + 97 + 7 + 1 + 136 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29592000 + ... + 29740608.

It is an arithmetic number, because the mean of its divisors is an integer number (39408332250).

Almost surely, 2^{4408679771136} 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 4408679771136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6935866476000).

4408679771136 is an abundant number, since it is smaller than the sum of its proper divisors (9463053180864).

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

4408679771136 is a wasteful number, since it uses less digits than its factorization.

4408679771136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148704 (or 148680 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 4408679771136 in words is "four trillion, four hundred eight billion, six hundred seventy-nine million, seven hundred seventy-one thousand, one hundred thirty-six".