412400010304100 has 216 divisors, whose sum is σ = 1122290200158120. Its totient is φ = 130378493306880.

The previous prime is 412400010304097. The next prime is 412400010304109. The reversal of 412400010304100 is 1403010004214.

It can be written as a sum of positive squares in 12 ways, for example, as 231288921410596 + 181111088893504 = 15208186^2 + 13457752^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (412400010304109) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56232206 + ... + 63141594.

It is an arithmetic number, because the mean of its divisors is an integer number (5195787963695).

Almost surely, 2^{412400010304100} 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 412400010304100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561145100079060).

412400010304100 is an abundant number, since it is smaller than the sum of its proper divisors (709890189854020).

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

412400010304100 is a wasteful number, since it uses less digits than its factorization.

412400010304100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6910367 (or 6910353 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 412400010304100 its reverse (1403010004214), we get a palindrome (413803020308314).

The spelling of 412400010304100 in words is "four hundred twelve trillion, four hundred billion, ten million, three hundred four thousand, one hundred".