412610359590 has 256 divisors, whose sum is σ = 1293461084160. Its totient is φ = 92274716160.

The previous prime is 412610359583. The next prime is 412610359597. The reversal of 412610359590 is 95953016214.

412610359590 is a `hidden beast` number, since 4 + 1 + 2 + 6 + 1 + 0 + 3 + 59 + 590 = 666.

It is an interprime number because it is at equal distance from previous prime (412610359583) and next prime (412610359597).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412610359597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 102816424 + ... + 102820436.

It is an arithmetic number, because the mean of its divisors is an integer number (5052582360).

Almost surely, 2^412610359590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412610359590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646730542080).

412610359590 is an abundant number, since it is smaller than the sum of its proper divisors (880850724570).

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

412610359590 is a wasteful number, since it uses less digits than its factorization.

412610359590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6716 (or 6710 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 412610359590 in words is "four hundred twelve billion, six hundred ten million, three hundred fifty-nine thousand, five hundred ninety".