4406351040 has 1344 divisors, whose sum is σ = 21088843776. Its totient is φ = 817496064.

The previous prime is 4406350999. The next prime is 4406351111. The reversal of 4406351040 is 401536044.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 4406350995 and 4406351013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 102473259 + ... + 102473301.

It is an arithmetic number, because the mean of its divisors is an integer number (15691104).

Almost surely, 2^4406351040 is an apocalyptic number.

4406351040 is a gapful number since it is divisible by the number (40) 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 4406351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10544421888).

4406351040 is an abundant number, since it is smaller than the sum of its proper divisors (16682492736).

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

4406351040 is a wasteful number, since it uses less digits than its factorization.

4406351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4406351040 is about 66380.3513097061. The cubic root of 4406351040 is about 1639.4305776466.

Adding to 4406351040 its reverse (401536044), we get a palindrome (4807887084).

The spelling of 4406351040 in words is "four billion, four hundred six million, three hundred fifty-one thousand, forty".