4297867996900 has 81 divisors (see below), whose sum is σ = 9368172728649. Its totient is φ = 1711476617760.

The previous prime is 4297867996897. The next prime is 4297867996927. The reversal of 4297867996900 is 96997687924.

The square root of 4297867996900 is 2073130.

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

It can be written as a sum of positive squares in only one way, i.e., 1547232478884 + 2750635518016 = 1243878^2 + 1658504^2 .

It is a super-2 number, since 2×4297867996900² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7857162427 + ... + 7857162973.

Almost surely, 2^{4297867996900} is an apocalyptic number.

4297867996900 is the 2073130-th square number.

It is an amenable number.

4297867996900 is an abundant number, since it is smaller than the sum of its proper divisors (5070304731749).

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

4297867996900 is an frugal number, since it uses more digits than its factorization.

4297867996900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 740710656, while the sum is 76.

The spelling of 4297867996900 in words is "four trillion, two hundred ninety-seven billion, eight hundred sixty-seven million, nine hundred ninety-six thousand, nine hundred".