414131228280 has 1536 divisors, whose sum is σ = 1846681804800. Its totient is φ = 81517363200.

The previous prime is 414131228243. The next prime is 414131228281. The reversal of 414131228280 is 82822131414.

414131228280 is a `hidden beast` number, since 4 + 1 + 41 + 312 + 28 + 280 = 666.

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 (414131228281) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 956422944 + ... + 956423376.

It is an arithmetic number, because the mean of its divisors is an integer number (1202266800).

Almost surely, 2^414131228280 is an apocalyptic number.

414131228280 is a gapful number since it is divisible by the number (40) 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 414131228280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923340902400).

414131228280 is an abundant number, since it is smaller than the sum of its proper divisors (1432550576520).

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

414131228280 is a wasteful number, since it uses less digits than its factorization.

414131228280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

Adding to 414131228280 its reverse (82822131414), we get a palindrome (496953359694).

It can be divided in two parts, 414131 and 228280, that added together give a triangular number (642411 = T₁₁₃₃).

The spelling of 414131228280 in words is "four hundred fourteen billion, one hundred thirty-one million, two hundred twenty-eight thousand, two hundred eighty".