4105898286048 has 1152 divisors, whose sum is σ = 14053140541440. Its totient is φ = 1125715968000.

The previous prime is 4105898286037. The next prime is 4105898286071. The reversal of 4105898286048 is 8406828985014.

4105898286048 is a `hidden beast` number, since 4 + 1 + 0 + 589 + 8 + 2 + 8 + 6 + 0 + 48 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17621880940 + ... + 17621881172.

It is an arithmetic number, because the mean of its divisors is an integer number (12198906720).

Almost surely, 2^{4105898286048} is an apocalyptic number.

4105898286048 is a gapful number since it is divisible by the number (48) 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 4105898286048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7026570270720).

4105898286048 is an abundant number, since it is smaller than the sum of its proper divisors (9947242255392).

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

4105898286048 is a wasteful number, since it uses less digits than its factorization.

4105898286048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 63.

The spelling of 4105898286048 in words is "four trillion, one hundred five billion, eight hundred ninety-eight million, two hundred eighty-six thousand, forty-eight".