412034535450432 has 336 divisors, whose sum is σ = 1278278115983232. Its totient is φ = 131346262333440.

The previous prime is 412034535450407. The next prime is 412034535450437. The reversal of 412034535450432 is 234054535430214.

412034535450432 is a `hidden beast` number, since 4 + 1 + 2 + 0 + 34 + 535 + 4 + 50 + 4 + 32 = 666.

It is a super-2 number, since 2×412034535450432² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412034535450437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1772982882 + ... + 1773215262.

It is an arithmetic number, because the mean of its divisors is an integer number (3804399154712).

Almost surely, 2^{412034535450432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412034535450432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639139057991616).

412034535450432 is an abundant number, since it is smaller than the sum of its proper divisors (866243580532800).

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

412034535450432 is a wasteful number, since it uses less digits than its factorization.

412034535450432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237388 (or 237366 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 412034535450432 in words is "four hundred twelve trillion, thirty-four billion, five hundred thirty-five million, four hundred fifty thousand, four hundred thirty-two".