63412411421436 has 384 divisors, whose sum is σ = 191602683740160. Its totient is φ = 15840822067200.

The previous prime is 63412411421383. The next prime is 63412411421459.

63412411421436 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×63412411421436² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12700260156 + ... + 12700265148.

It is an arithmetic number, because the mean of its divisors is an integer number (498965322240).

Almost surely, 2^{63412411421436} is an apocalyptic number.

63412411421436 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63412411421436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95801341870080).

63412411421436 is an abundant number, since it is smaller than the sum of its proper divisors (128190272318724).

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

63412411421436 is a wasteful number, since it uses less digits than its factorization.

63412411421436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7705 (or 7703 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

It can be divided in two parts, 6341241 and 1421436, that added together give a palindrome (7762677).

The spelling of 63412411421436 in words is "sixty-three trillion, four hundred twelve billion, four hundred eleven million, four hundred twenty-one thousand, four hundred thirty-six".