412034327712 has 240 divisors, whose sum is σ = 1457783490240. Its totient is φ = 111527995392.

The previous prime is 412034327657. The next prime is 412034327729. The reversal of 412034327712 is 217723430214.

412034327712 is a `hidden beast` number, since 4 + 1 + 203 + 432 + 7 + 7 + 12 = 666.

It is a super-2 number, since 2×412034327712² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 252873 + ... + 942344.

It is an arithmetic number, because the mean of its divisors is an integer number (6074097876).

Almost surely, 2^412034327712 is an apocalyptic number.

412034327712 is a gapful number since it is divisible by the number (42) 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 412034327712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728891745120).

412034327712 is an abundant number, since it is smaller than the sum of its proper divisors (1045749162528).

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

412034327712 is a wasteful number, since it uses less digits than its factorization.

412034327712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195265 (or 1195248 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

Adding to 412034327712 its reverse (217723430214), we get a palindrome (629757757926).

The spelling of 412034327712 in words is "four hundred twelve billion, thirty-four million, three hundred twenty-seven thousand, seven hundred twelve".