4405105350 has 192 divisors, whose sum is σ = 12845606400. Its totient is φ = 1106939520.

The previous prime is 4405105349. The next prime is 4405105381. The reversal of 4405105350 is 535015044.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6745624 + ... + 6746276.

It is an arithmetic number, because the mean of its divisors is an integer number (66904200).

Almost surely, 2^4405105350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4405105350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6422803200).

4405105350 is an abundant number, since it is smaller than the sum of its proper divisors (8440501050).

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

4405105350 is a wasteful number, since it uses less digits than its factorization.

4405105350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 4405105350 is about 66370.9676741269. The cubic root of 4405105350 is about 1639.2760722720.

The spelling of 4405105350 in words is "four billion, four hundred five million, one hundred five thousand, three hundred fifty".