412023931272 has 192 divisors, whose sum is σ = 1161296136000. Its totient is φ = 131813402112.

The previous prime is 412023931271. The next prime is 412023931283. The reversal of 412023931272 is 272139320214.

412023931272 is a `hidden beast` number, since 4 + 120 + 239 + 31 + 272 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (412023931271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 335250754 + ... + 335251982.

It is an arithmetic number, because the mean of its divisors is an integer number (6048417375).

Almost surely, 2^412023931272 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 412023931272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580648068000).

412023931272 is an abundant number, since it is smaller than the sum of its proper divisors (749272204728).

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

412023931272 is a wasteful number, since it uses less digits than its factorization.

412023931272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 412023931272 in words is "four hundred twelve billion, twenty-three million, nine hundred thirty-one thousand, two hundred seventy-two".