412114433234004 has 144 divisors (see below), whose sum is σ = 1048806158400000. Its totient is φ = 136442439124992.

The previous prime is 412114433233973. The next prime is 412114433234113. The reversal of 412114433234004 is 400432334411214.

412114433234004 is a `hidden beast` number, since 4 + 1 + 211 + 4 + 4 + 3 + 32 + 3 + 400 + 4 = 666.

It is a super-2 number, since 2×412114433234004² (a number of 30 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 412114433234004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5475183682 + ... + 5475258950.

It is an arithmetic number, because the mean of its divisors is an integer number (7283376100000).

Almost surely, 2^{412114433234004} is an apocalyptic number.

It is an amenable number.

412114433234004 is an abundant number, since it is smaller than the sum of its proper divisors (636691725165996).

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

412114433234004 is a wasteful number, since it uses less digits than its factorization.

412114433234004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77254 (or 77249 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 412114433234004 its reverse (400432334411214), we get a palindrome (812546767645218).

The spelling of 412114433234004 in words is "four hundred twelve trillion, one hundred fourteen billion, four hundred thirty-three million, two hundred thirty-four thousand, four".