412241220240 has 160 divisors (see below), whose sum is σ = 1291543335936. Its totient is φ = 108763084800.

The previous prime is 412241220233. The next prime is 412241220241. The reversal of 412241220240 is 42022142214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 412241220240.

It is not an unprimeable number, because it can be changed into a prime (412241220241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37978654 + ... + 37989506.

Almost surely, 2^412241220240 is an apocalyptic number.

412241220240 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 412241220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645771667968).

412241220240 is an abundant number, since it is smaller than the sum of its proper divisors (879302115696).

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

412241220240 is a wasteful number, since it uses less digits than its factorization.

412241220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12537 (or 12531 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 412241220240 its reverse (42022142214), we get a palindrome (454263362454).

The spelling of 412241220240 in words is "four hundred twelve billion, two hundred forty-one million, two hundred twenty thousand, two hundred forty".