4461506809344 has 360 divisors, whose sum is σ = 14549149620720. Its totient is φ = 1313080344576.

The previous prime is 4461506809303. The next prime is 4461506809363. The reversal of 4461506809344 is 4439086051644.

4461506809344 is a `hidden beast` number, since 4 + 4 + 6 + 1 + 506 + 8 + 0 + 93 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17786752 + ... + 18035840.

It is an arithmetic number, because the mean of its divisors is an integer number (40414304502).

Almost surely, 2^{4461506809344} 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 4461506809344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7274574810360).

4461506809344 is an abundant number, since it is smaller than the sum of its proper divisors (10087642811376).

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

4461506809344 is a wasteful number, since it uses less digits than its factorization.

4461506809344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249162 (or 249130 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 4461506809344 in words is "four trillion, four hundred sixty-one billion, five hundred six million, eight hundred nine thousand, three hundred forty-four".