4407575040 has 960 divisors, whose sum is σ = 18808796160. Its totient is φ = 973209600.

The previous prime is 4407575033. The next prime is 4407575113. The reversal of 4407575040 is 405757044.

4407575040 is a `hidden beast` number, since 4 + 40 + 7 + 575 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 = 4407574986 and 4407575004.

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, 142179825 + ... + 142179855.

It is an arithmetic number, because the mean of its divisors is an integer number (19592496).

Almost surely, 2^4407575040 is an apocalyptic number.

4407575040 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 4407575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9404398080).

4407575040 is an abundant number, since it is smaller than the sum of its proper divisors (14401221120).

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

4407575040 is a wasteful number, since it uses less digits than its factorization.

4407575040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 4407575040 is about 66389.5702652156. The cubic root of 4407575040 is about 1639.5823644072.

The spelling of 4407575040 in words is "four billion, four hundred seven million, five hundred seventy-five thousand, forty".