412101152430 has 256 divisors, whose sum is σ = 1140616028160. Its totient is φ = 94314176000.

The previous prime is 412101152429. The next prime is 412101152431. The reversal of 412101152430 is 34251101214.

It is an interprime number because it is at equal distance from previous prime (412101152429) and next prime (412101152431).

It is a self number, because there is not a number n which added to its sum of digits gives 412101152430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412101152431) 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 127 ways as a sum of consecutive naturals, for example, 321200569 + ... + 321201851.

It is an arithmetic number, because the mean of its divisors is an integer number (4455531360).

Almost surely, 2^412101152430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412101152430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570308014080).

412101152430 is an abundant number, since it is smaller than the sum of its proper divisors (728514875730).

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

412101152430 is a wasteful number, since it uses less digits than its factorization.

412101152430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847.

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 412101152430 its reverse (34251101214), we get a palindrome (446352253644).

The spelling of 412101152430 in words is "four hundred twelve billion, one hundred one million, one hundred fifty-two thousand, four hundred thirty".