4098961152 has 648 divisors, whose sum is σ = 14924674800. Its totient is φ = 1107025920.

The previous prime is 4098961151. The next prime is 4098961157. The reversal of 4098961152 is 2511698904.

4098961152 is a `hidden beast` number, since 409 + 8 + 96 + 1 + 152 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4098961098 and 4098961107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4098961151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 141343474 + ... + 141343502.

Almost surely, 2^4098961152 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 4098961152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7462337400).

4098961152 is an abundant number, since it is smaller than the sum of its proper divisors (10825713648).

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

4098961152 is a wasteful number, since it uses less digits than its factorization.

4098961152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 4098961152 is about 64023.1298204016. The cubic root of 4098961152 is about 1600.3854737904.

The spelling of 4098961152 in words is "four billion, ninety-eight million, nine hundred sixty-one thousand, one hundred fifty-two".