4229377337025 has 135 divisors (see below), whose sum is σ = 8193822515571. Its totient is φ = 2156509539360.

The previous prime is 4229377337023. The next prime is 4229377337149. The reversal of 4229377337025 is 5207337739224.

The square root of 4229377337025 is 2056545.

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., 1522575841329 + 2706801495696 = 1233927^2 + 1645236^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 4229377337025 - 2¹ = 4229377337023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4229377337023) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2128523082 + ... + 2128525068.

Almost surely, 2^{4229377337025} is an apocalyptic number.

4229377337025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4229377337025 is the 2056545-th square number.

4229377337025 is the 1028273-rd centered octagonal number.

It is an amenable number.

4229377337025 is a deficient number, since it is larger than the sum of its proper divisors (3964445178546).

4229377337025 is an frugal number, since it uses more digits than its factorization.

4229377337025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4042 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 54.

The spelling of 4229377337025 in words is "four trillion, two hundred twenty-nine billion, three hundred seventy-seven million, three hundred thirty-seven thousand, twenty-five".