4097985440 has 96 divisors (see below), whose sum is σ = 10293526656. Its totient is φ = 1538268160.

The previous prime is 4097985391. The next prime is 4097985467. The reversal of 4097985440 is 445897904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184535 + ... + 205545.

It is an arithmetic number, because the mean of its divisors is an integer number (107224236).

Almost surely, 2^4097985440 is an apocalyptic number.

4097985440 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 4097985440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5146763328).

4097985440 is an abundant number, since it is smaller than the sum of its proper divisors (6195541216).

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

4097985440 is a wasteful number, since it uses less digits than its factorization.

4097985440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21102 (or 21094 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

The square root of 4097985440 is about 64015.5093707767. The cubic root of 4097985440 is about 1600.2584790739.

The spelling of 4097985440 in words is "four billion, ninety-seven million, nine hundred eighty-five thousand, four hundred forty".