41428988832000 has 2304 divisors, whose sum is σ = 182710602547200. Its totient is φ = 8232677376000.

The previous prime is 41428988831959. The next prime is 41428988832029. The reversal of 41428988832000 is 23888982414.

It is a super-2 number, since 2×41428988832000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8330781514 + ... + 8330786486.

It is an arithmetic number, because the mean of its divisors is an integer number (79301476800).

Almost surely, 2^{41428988832000} is an apocalyptic number.

41428988832000 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 41428988832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91355301273600).

41428988832000 is an abundant number, since it is smaller than the sum of its proper divisors (141281613715200).

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

41428988832000 is a wasteful number, since it uses less digits than its factorization.

41428988832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5062 (or 5024 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 57.

The spelling of 41428988832000 in words is "forty-one trillion, four hundred twenty-eight billion, nine hundred eighty-eight million, eight hundred thirty-two thousand".