412203804961 has 45 divisors (see below), whose sum is σ = 466039623023. Its totient is φ = 364570883040.

The previous prime is 412203804907. The next prime is 412203804977. The reversal of 412203804961 is 169408302214.

The square root of 412203804961 is 642031.

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

It can be written as a sum of positive squares in 7 ways, for example, as 411867449361 + 336355600 = 641769^2 + 18340^2 .

It is a de Polignac number, because none of the positive numbers 2^k-412203804961 is a prime.

It is a super-2 number, since 2×412203804961² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (412203804461) 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, 3146593866 + ... + 3146593996.

Almost surely, 2^412203804961 is an apocalyptic number.

412203804961 is the 642031-st square number.

412203804961 is the 321016-th centered octagonal number.

It is an amenable number.

412203804961 is a deficient number, since it is larger than the sum of its proper divisors (53835818062).

412203804961 is an frugal number, since it uses more digits than its factorization.

412203804961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 412203804961 in words is "four hundred twelve billion, two hundred three million, eight hundred four thousand, nine hundred sixty-one".