4281729346756 has 9 divisors (see below), whose sum is σ = 7493033599149. Its totient is φ = 2140862604144.

The previous prime is 4281729346723. The next prime is 4281729346789. The reversal of 4281729346756 is 6576439271824.

The square root of 4281729346756 is 2069234.

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

It is an interprime number because it is at equal distance from previous prime (4281729346723) and next prime (4281729346789).

It can be written as a sum of positive squares in only one way, i.e., 3113566120900 + 1168163225856 = 1764530^2 + 1080816^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3621160 + ... + 4655776.

Almost surely, 2^{4281729346756} is an apocalyptic number.

4281729346756 is the 2069234-th square number.

It is an amenable number.

4281729346756 is a deficient number, since it is larger than the sum of its proper divisors (3211304252393).

4281729346756 is an frugal number, since it uses more digits than its factorization.

4281729346756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069238 (or 1034619 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 64.

Multiplying 4281729346756 by its sum of digits (64), we get a square (274030678192384 = 16553872²).

The spelling of 4281729346756 in words is "four trillion, two hundred eighty-one billion, seven hundred twenty-nine million, three hundred forty-six thousand, seven hundred fifty-six".