4097089920 has 768 divisors, whose sum is σ = 17179672320. Its totient is φ = 820592640.

The previous prime is 4097089901. The next prime is 4097089939. The reversal of 4097089920 is 299807904.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4097089901) and next prime (4097089939).

It is a super-2 number, since 2×4097089920² = 33572291625131212800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4097089920.

It is a congruent number.

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, 38290507 + ... + 38290613.

It is an arithmetic number, because the mean of its divisors is an integer number (22369365).

Almost surely, 2^4097089920 is an apocalyptic number.

4097089920 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 4097089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8589836160).

4097089920 is an abundant number, since it is smaller than the sum of its proper divisors (13082582400).

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

4097089920 is a wasteful number, since it uses less digits than its factorization.

4097089920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 4097089920 is about 64008.5144336283. The cubic root of 4097089920 is about 1600.1419040808.

The spelling of 4097089920 in words is "four billion, ninety-seven million, eighty-nine thousand, nine hundred twenty".