412211221240 has 256 divisors, whose sum is σ = 1166847897600. Its totient is φ = 127593363456.

The previous prime is 412211221237. The next prime is 412211221277. The reversal of 412211221240 is 42122112214.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 30762222 + ... + 30775618.

It is an arithmetic number, because the mean of its divisors is an integer number (4557999600).

Almost surely, 2^412211221240 is an apocalyptic number.

412211221240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412211221240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583423948800).

412211221240 is an abundant number, since it is smaller than the sum of its proper divisors (754636676360).

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

412211221240 is a wasteful number, since it uses less digits than its factorization.

412211221240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13614 (or 13610 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 412211221240 its reverse (42122112214), we get a palindrome (454333333454).

The spelling of 412211221240 in words is "four hundred twelve billion, two hundred eleven million, two hundred twenty-one thousand, two hundred forty".