412241213040 has 160 divisors (see below), whose sum is σ = 1353397502016. Its totient is φ = 103443333120.

The previous prime is 412241213011. The next prime is 412241213081. The reversal of 412241213040 is 40312142214.

It is a super-3 number, since 3×412241213040³ (a number of 36 digits) contains 333 as substring.

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 412241213040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32605120 + ... + 32617760.

Almost surely, 2^412241213040 is an apocalyptic number.

412241213040 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 412241213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676698751008).

412241213040 is an abundant number, since it is smaller than the sum of its proper divisors (941156288976).

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

412241213040 is a wasteful number, since it uses less digits than its factorization.

412241213040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20667 (or 20661 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 412241213040 its reverse (40312142214), we get a palindrome (452553355254).

The spelling of 412241213040 in words is "four hundred twelve billion, two hundred forty-one million, two hundred thirteen thousand, forty".