412423431122040 has 256 divisors, whose sum is σ = 1340280369792000. Its totient is φ = 100923721113600.

The previous prime is 412423431122011. The next prime is 412423431122107. The reversal of 412423431122040 is 40221134324214.

It is a junction number, because it is equal to n+sod(n) for n = 412423431121992 and 412423431122010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 289278861 + ... + 290701059.

It is an arithmetic number, because the mean of its divisors is an integer number (5235470194500).

Almost surely, 2^{412423431122040} is an apocalyptic number.

412423431122040 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 412423431122040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670140184896000).

412423431122040 is an abundant number, since it is smaller than the sum of its proper divisors (927856938669960).

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

412423431122040 is a wasteful number, since it uses less digits than its factorization.

412423431122040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423318 (or 1423314 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 412423431122040 its reverse (40221134324214), we get a palindrome (452644565446254).

The spelling of 412423431122040 in words is "four hundred twelve trillion, four hundred twenty-three billion, four hundred thirty-one million, one hundred twenty-two thousand, forty".