4106446344 has 384 divisors, whose sum is σ = 15058068480. Its totient is φ = 976320000.

The previous prime is 4106446343. The next prime is 4106446363. The reversal of 4106446344 is 4436446014.

4106446344 is a `hidden beast` number, since 4 + 1 + 0 + 644 + 6 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4106446299 and 4106446308.

It is not an unprimeable number, because it can be changed into a prime (4106446343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16360219 + ... + 16360469.

It is an arithmetic number, because the mean of its divisors is an integer number (39213720).

Almost surely, 2^4106446344 is an apocalyptic number.

4106446344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4106446344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7529034240).

4106446344 is an abundant number, since it is smaller than the sum of its proper divisors (10951622136).

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

4106446344 is a wasteful number, since it uses less digits than its factorization.

4106446344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 4106446344 is about 64081.5600933685. The cubic root of 4106446344 is about 1601.3590463355.

The spelling of 4106446344 in words is "four billion, one hundred six million, four hundred forty-six thousand, three hundred forty-four".