4170216960 has 1200 divisors, whose sum is σ = 19571577696. Its totient is φ = 828112896.

The previous prime is 4170216913. The next prime is 4170216971. The reversal of 4170216960 is 696120714.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 2028 × 1428 × 1440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 245306872 + ... + 245306888.

Almost surely, 2^4170216960 is an apocalyptic number.

4170216960 is a gapful number since it is divisible by the number (40) 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 4170216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9785788848).

4170216960 is an abundant number, since it is smaller than the sum of its proper divisors (15401360736).

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

4170216960 is a wasteful number, since it uses less digits than its factorization.

4170216960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 4170216960 is about 64577.2170351123. The cubic root of 4170216960 is about 1609.6058806652.

The spelling of 4170216960 in words is "four billion, one hundred seventy million, two hundred sixteen thousand, nine hundred sixty".