4171972896 has 216 divisors, whose sum is σ = 14863307004. Its totient is φ = 1100252160.

The previous prime is 4171972859. The next prime is 4171972933. The reversal of 4171972896 is 6982791714.

It is an interprime number because it is at equal distance from previous prime (4171972859) and next prime (4171972933).

It can be written as a sum of positive squares in 2 ways, for example, as 3408224400 + 763748496 = 58380^2 + 27636^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 172086 + ... + 194826.

Almost surely, 2^4171972896 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 4171972896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7431653502).

4171972896 is an abundant number, since it is smaller than the sum of its proper divisors (10691334108).

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

4171972896 is a wasteful number, since it uses less digits than its factorization.

4171972896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22784 (or 22766 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The square root of 4171972896 is about 64590.8112350356. The cubic root of 4171972896 is about 1609.8317656601.

The spelling of 4171972896 in words is "four billion, one hundred seventy-one million, nine hundred seventy-two thousand, eight hundred ninety-six".