412042005403002 has 384 divisors, whose sum is σ = 1064813384113920. Its totient is φ = 117001095045120.

The previous prime is 412042005402977. The next prime is 412042005403003. The reversal of 412042005403002 is 200304500240214.

412042005403002 is a `hidden beast` number, since 412 + 0 + 4 + 200 + 5 + 40 + 3 + 0 + 0 + 2 = 666.

It is a super-2 number, since 2×412042005403002² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (412042005403003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79683231877 + ... + 79683237047.

It is an arithmetic number, because the mean of its divisors is an integer number (2772951521130).

Almost surely, 2^{412042005403002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412042005403002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532406692056960).

412042005403002 is an abundant number, since it is smaller than the sum of its proper divisors (652771378710918).

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

412042005403002 is a wasteful number, since it uses less digits than its factorization.

412042005403002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7695 (or 7636 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 412042005403002 its reverse (200304500240214), we get a palindrome (612346505643216).

The spelling of 412042005403002 in words is "four hundred twelve trillion, forty-two billion, five million, four hundred three thousand, two".