4299816960000 has 945 divisors, whose sum is σ = 16118327195971. Its totient is φ = 1146617856000.

The previous prime is 4299816959983. The next prime is 4299816960007. The reversal of 4299816960000 is 696189924.

The square root of 4299816960000 is 2073600.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

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

4299816960000 is a `hidden beast` number, since 4 + 29 + 9 + 8 + 1 + 6 + 9 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 337105649664 + 3962711310336 = 580608^2 + 1990656^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4299816960007) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 859963391998 + ... + 859963392002.

Almost surely, 2^{4299816960000} is an apocalyptic number.

4299816960000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4299816960000 is the 2073600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4299816960000

4299816960000 is an abundant number, since it is smaller than the sum of its proper divisors (11818510235971).

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

4299816960000 is an frugal number, since it uses more digits than its factorization.

4299816960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 10 counting only the distinct ones).

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

4299816960000 divided by its product of nonzero digits (1679616) gives a 4-th power (2560000 = 40⁴).

The spelling of 4299816960000 in words is "four trillion, two hundred ninety-nine billion, eight hundred sixteen million, nine hundred sixty thousand".