4097716992 has 288 divisors, whose sum is σ = 13145045760. Its totient is φ = 1254113280.

The previous prime is 4097716979. The next prime is 4097717011. The reversal of 4097716992 is 2996177904.

4097716992 is a `hidden beast` number, since 409 + 77 + 169 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5052267 + ... + 5053077.

It is an arithmetic number, because the mean of its divisors is an integer number (45642520).

Almost surely, 2^4097716992 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 4097716992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6572522880).

4097716992 is an abundant number, since it is smaller than the sum of its proper divisors (9047328768).

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

4097716992 is a wasteful number, since it uses less digits than its factorization.

4097716992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The square root of 4097716992 is about 64013.4125945493. The cubic root of 4097716992 is about 1600.2235354352.

The spelling of 4097716992 in words is "four billion, ninety-seven million, seven hundred sixteen thousand, nine hundred ninety-two".