412215361600 has 189 divisors, whose sum is σ = 1180423430487. Its totient is φ = 141269345280.

The previous prime is 412215361583. The next prime is 412215361609. The reversal of 412215361600 is 6163512214.

It is a happy number.

The square root of 412215361600 is 642040.

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 50754682944 + 361460678656 = 225288^2 + 601216^2 .

It is not an unprimeable number, because it can be changed into a prime (412215361609) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 179770054 + ... + 179772346.

Almost surely, 2^412215361600 is an apocalyptic number.

412215361600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

412215361600 is the 642040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412215361600

412215361600 is an abundant number, since it is smaller than the sum of its proper divisors (768208068887).

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

412215361600 is an frugal number, since it uses more digits than its factorization.

412215361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4622 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

Adding to 412215361600 its reverse (6163512214), we get a palindrome (418378873814).

The spelling of 412215361600 in words is "four hundred twelve billion, two hundred fifteen million, three hundred sixty-one thousand, six hundred".