4415005440 has 360 divisors, whose sum is σ = 15996916320. Its totient is φ = 1162543104.

The previous prime is 4415005421. The next prime is 4415005447. The reversal of 4415005440 is 445005144.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (4415005447) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10056741 + ... + 10057179.

Almost surely, 2^4415005440 is an apocalyptic number.

4415005440 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 4415005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7998458160).

4415005440 is an abundant number, since it is smaller than the sum of its proper divisors (11581910880).

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

4415005440 is an equidigital number, since it uses as much as digits as its factorization.

4415005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 4415005440 is about 66445.5072973335. The cubic root of 4415005440 is about 1640.5031967696.

The spelling of 4415005440 in words is "four billion, four hundred fifteen million, five thousand, four hundred forty".