4098961440 has 288 divisors, whose sum is σ = 16097792256. Its totient is φ = 930355200.

The previous prime is 4098961423. The next prime is 4098961441. The reversal of 4098961440 is 441698904.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4098961441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1520734 + ... + 1523426.

It is an arithmetic number, because the mean of its divisors is an integer number (55895112).

Almost surely, 2^4098961440 is an apocalyptic number.

4098961440 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 4098961440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8048896128).

4098961440 is an abundant number, since it is smaller than the sum of its proper divisors (11998830816).

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

4098961440 is a wasteful number, since it uses less digits than its factorization.

4098961440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2872 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4098961440 is about 64023.1320695887. The cubic root of 4098961440 is about 1600.3855112724.

The spelling of 4098961440 in words is "four billion, ninety-eight million, nine hundred sixty-one thousand, four hundred forty".