4299816960 has 324 divisors, whose sum is σ = 15478495578. Its totient is φ = 1146617856.

The previous prime is 4299816931. The next prime is 4299816971. The reversal of 4299816960 is 696189924.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (4!)³ ⋅ (3!)³ ⋅ 2!.

It can be written as a sum of positive squares in only one way, i.e., 3869835264 + 429981696 = 62208^2 + 20736^2 .

It is a tau number, because it is divible by the number of its divisors (324).

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 4299816897 and 4299816906.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 859963390 + ... + 859963394.

Almost surely, 2^4299816960 is an apocalyptic number.

4299816960 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 4299816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7739247789).

4299816960 is an abundant number, since it is smaller than the sum of its proper divisors (11178678618).

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

4299816960 is an frugal number, since it uses more digits than its factorization.

4299816960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 4299816960 is about 65572.9895612515. The cubic root of 4299816960 is about 1626.1102579064.

The spelling of 4299816960 in words is "four billion, two hundred ninety-nine million, eight hundred sixteen thousand, nine hundred sixty".