412035532000000 has 252 divisors, whose sum is σ = 1028427432054120. Its totient is φ = 164755916800000.

The previous prime is 412035531999937. The next prime is 412035532000019. The reversal of 412035532000000 is 235530214.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 12355983327 + ... + 12356016673.

It is an arithmetic number, because the mean of its divisors is an integer number (4081061238310).

Almost surely, 2^{412035532000000} is an apocalyptic number.

412035532000000 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 412035532000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514213716027060).

412035532000000 is an abundant number, since it is smaller than the sum of its proper divisors (616391900054120).

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

412035532000000 is an frugal number, since it uses more digits than its factorization.

412035532000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36482 (or 36443 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 412035532000000 its reverse (235530214), we get a palindrome (412035767530214).

The spelling of 412035532000000 in words is "four hundred twelve trillion, thirty-five billion, five hundred thirty-two million", and thus it is an aban number.