4415431680 has 528 divisors, whose sum is σ = 17289911808. Its totient is φ = 1032192000.

The previous prime is 4415431673. The next prime is 4415431681. The reversal of 4415431680 is 861345144.

4415431680 is a `hidden beast` number, since 441 + 54 + 3 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4415431681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15713140 + ... + 15713420.

Almost surely, 2^4415431680 is an apocalyptic number.

4415431680 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 4415431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8644955904).

4415431680 is an abundant number, since it is smaller than the sum of its proper divisors (12874480128).

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

4415431680 is a wasteful number, since it uses less digits than its factorization.

4415431680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4415431680 is about 66448.7146602551. The cubic root of 4415431680 is about 1640.5559883679. Note that the first 3 decimals are identical.

The spelling of 4415431680 in words is "four billion, four hundred fifteen million, four hundred thirty-one thousand, six hundred eighty".