41417421120 has 896 divisors, whose sum is σ = 161449390080. Its totient is φ = 9963233280.

The previous prime is 41417421119. The next prime is 41417421161. The reversal of 41417421120 is 2112471414.

It is a happy number.

41417421120 is a `hidden beast` number, since 414 + 17 + 4 + 211 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 316163455 + ... + 316163585.

Almost surely, 2^41417421120 is an apocalyptic number.

41417421120 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 41417421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80724695040).

41417421120 is an abundant number, since it is smaller than the sum of its proper divisors (120031968960).

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

41417421120 is a wasteful number, since it uses less digits than its factorization.

41417421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Adding to 41417421120 its reverse (2112471414), we get a palindrome (43529892534).

The spelling of 41417421120 in words is "forty-one billion, four hundred seventeen million, four hundred twenty-one thousand, one hundred twenty".