4101898752 has 640 divisors, whose sum is σ = 15399014400. Its totient is φ = 1051066368.

The previous prime is 4101898747. The next prime is 4101898763. The reversal of 4101898752 is 2578981014.

4101898752 is a `hidden beast` number, since 410 + 189 + 8 + 7 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4101898698 and 4101898707.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42287568 + ... + 42287664.

It is an arithmetic number, because the mean of its divisors is an integer number (24060960).

Almost surely, 2^4101898752 is an apocalyptic number.

4101898752 is a gapful number since it is divisible by the number (42) 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 4101898752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7699507200).

4101898752 is an abundant number, since it is smaller than the sum of its proper divisors (11297115648).

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

4101898752 is a wasteful number, since it uses less digits than its factorization.

4101898752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 4101898752 is about 64046.0674202562. The cubic root of 4101898752 is about 1600.7676982574.

The spelling of 4101898752 in words is "four billion, one hundred one million, eight hundred ninety-eight thousand, seven hundred fifty-two".