4098455882820 has 288 divisors, whose sum is σ = 13625405539200. Its totient is φ = 991119310848.

The previous prime is 4098455882803. The next prime is 4098455882867. The reversal of 4098455882820 is 282885548904.

4098455882820 is a `hidden beast` number, since 4 + 0 + 9 + 8 + 4 + 5 + 588 + 28 + 20 = 666.

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, 34706436 + ... + 34824324.

It is an arithmetic number, because the mean of its divisors is an integer number (47310435900).

Almost surely, 2^{4098455882820} 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 4098455882820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6812702769600).

4098455882820 is an abundant number, since it is smaller than the sum of its proper divisors (9526949656380).

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

4098455882820 is a wasteful number, since it uses less digits than its factorization.

4098455882820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118179 (or 118174 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 63.

The spelling of 4098455882820 in words is "four trillion, ninety-eight billion, four hundred fifty-five million, eight hundred eighty-two thousand, eight hundred twenty".