4098688440 has 512 divisors, whose sum is σ = 16460236800. Its totient is φ = 790364160.

The previous prime is 4098688421. The next prime is 4098688459. The reversal of 4098688440 is 448868904.

4098688440 = T₂₉₁ + T₂₉₂ + ... + T₂₉₀₈.

It is a Cunningham number, because it is equal to 64021²-1.

It is an interprime number because it is at equal distance from previous prime (4098688421) and next prime (4098688459).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15236626 + ... + 15236894.

It is an arithmetic number, because the mean of its divisors is an integer number (32148900).

Almost surely, 2^4098688440 is an apocalyptic number.

4098688440 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 4098688440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8230118400).

4098688440 is an abundant number, since it is smaller than the sum of its proper divisors (12361548360).

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

4098688440 is a wasteful number, since it uses less digits than its factorization.

4098688440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The square root of 4098688440 is about 64020.9999921901. Note that the first 5 decimals coincide. The cubic root of 4098688440 is about 1600.3499807320.

The spelling of 4098688440 in words is "four billion, ninety-eight million, six hundred eighty-eight thousand, four hundred forty".