4406417650536 has 256 divisors, whose sum is σ = 12596484096000. Its totient is φ = 1272410726400.

The previous prime is 4406417650529. The next prime is 4406417650541. The reversal of 4406417650536 is 6350567146044.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 157961806 + ... + 157989698.

It is an arithmetic number, because the mean of its divisors is an integer number (49205016000).

Almost surely, 2^{4406417650536} 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 4406417650536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6298242048000).

4406417650536 is an abundant number, since it is smaller than the sum of its proper divisors (8190066445464).

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

4406417650536 is a wasteful number, since it uses less digits than its factorization.

4406417650536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28240 (or 28236 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 51.

The spelling of 4406417650536 in words is "four trillion, four hundred six billion, four hundred seventeen million, six hundred fifty thousand, five hundred thirty-six".