412005140420000 has 240 divisors, whose sum is σ = 1015160190909480. Its totient is φ = 164547661824000.

The previous prime is 412005140419909. The next prime is 412005140420047. The reversal of 412005140420000 is 24041500214.

It can be written as a sum of positive squares in 20 ways, for example, as 410501799592336 + 1503340827664 = 20260844^2 + 1226108^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54289776206 + ... + 54289783794.

Almost surely, 2^{412005140420000} is an apocalyptic number.

412005140420000 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 412005140420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507580095454740).

412005140420000 is an abundant number, since it is smaller than the sum of its proper divisors (603155050489480).

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

412005140420000 is an equidigital number, since it uses as much as digits as its factorization.

412005140420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11453 (or 11430 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 412005140420000 its reverse (24041500214), we get a palindrome (412029181920214).

The spelling of 412005140420000 in words is "four hundred twelve trillion, five billion, one hundred forty million, four hundred twenty thousand".