412144005420504 has 384 divisors, whose sum is σ = 1330805391552000. Its totient is φ = 117054789755904.

The previous prime is 412144005420493. The next prime is 412144005420509. The reversal of 412144005420504 is 405024500441214.

412144005420504 is a `hidden beast` number, since 4 + 1 + 2 + 1 + 440 + 0 + 5 + 4 + 205 + 0 + 4 = 666.

It is a super-2 number, since 2×412144005420504² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (412144005420509) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18854648727 + ... + 18854670585.

It is an arithmetic number, because the mean of its divisors is an integer number (3465639040500).

Almost surely, 2^{412144005420504} 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 412144005420504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665402695776000).

412144005420504 is an abundant number, since it is smaller than the sum of its proper divisors (918661386131496).

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

412144005420504 is a wasteful number, since it uses less digits than its factorization.

412144005420504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30069 (or 30053 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 412144005420504 its reverse (405024500441214), we get a palindrome (817168505861718).

The spelling of 412144005420504 in words is "four hundred twelve trillion, one hundred forty-four billion, five million, four hundred twenty thousand, five hundred four".