4098469759020 has 576 divisors, whose sum is σ = 15988150886400. Its totient is φ = 863940349440.

The previous prime is 4098469759001. The next prime is 4098469759031. The reversal of 4098469759020 is 209579648904.

4098469759020 is a `hidden beast` number, since 409 + 84 + 69 + 7 + 5 + 90 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 423434541 + ... + 423444219.

It is an arithmetic number, because the mean of its divisors is an integer number (27757206400).

Almost surely, 2^{4098469759020} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4098469759020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7994075443200).

4098469759020 is an abundant number, since it is smaller than the sum of its proper divisors (11889681127380).

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

4098469759020 is a wasteful number, since it uses less digits than its factorization.

4098469759020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10955 (or 10940 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 4098469759020 in words is "four trillion, ninety-eight billion, four hundred sixty-nine million, seven hundred fifty-nine thousand, twenty".