41428258560 has 432 divisors, whose sum is σ = 159703034400. Its totient is φ = 9845047296.

The previous prime is 41428258537. The next prime is 41428258583. The reversal of 41428258560 is 6585282414.

41428258560 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 8 + 2 + 585 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (41428258537) and next prime (41428258583).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4338271 + ... + 4347809.

It is an arithmetic number, because the mean of its divisors is an integer number (369682950).

Almost surely, 2^41428258560 is an apocalyptic number.

41428258560 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 41428258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79851517200).

41428258560 is an abundant number, since it is smaller than the sum of its proper divisors (118274775840).

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

41428258560 is a wasteful number, since it uses less digits than its factorization.

41428258560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9608 (or 9591 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 41428258560 in words is "forty-one billion, four hundred twenty-eight million, two hundred fifty-eight thousand, five hundred sixty".