4294261507600 has 45 divisors (see below), whose sum is σ = 10317062845063. Its totient is φ = 1717688024960.

The previous prime is 4294261507597. The next prime is 4294261507607. The reversal of 4294261507600 is 67051624924.

The square root of 4294261507600 is 2072260.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1354216309264 + 2940045198336 = 1163708^2 + 1714656^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4294261507607) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 41393394 + ... + 41497006.

Almost surely, 2^{4294261507600} is an apocalyptic number.

4294261507600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4294261507600 is the 2072260-th square number.

It is an amenable number.

4294261507600 is an abundant number, since it is smaller than the sum of its proper divisors (6022801337463).

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

4294261507600 is an frugal number, since it uses more digits than its factorization.

4294261507600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207244 (or 103620 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 4294261507600 in words is "four trillion, two hundred ninety-four billion, two hundred sixty-one million, five hundred seven thousand, six hundred".