41214412848 has 160 divisors (see below), whose sum is σ = 123904069632. Its totient is φ = 11561760000.

The previous prime is 41214412829. The next prime is 41214412849. The reversal of 41214412848 is 84821441214.

It is a happy number.

It is a super-2 number, since 2×41214412848² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (41214412849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5984415 + ... + 5991297.

Almost surely, 2^41214412848 is an apocalyptic number.

41214412848 is a gapful number since it is divisible by the number (48) 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 41214412848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61952034816).

41214412848 is an abundant number, since it is smaller than the sum of its proper divisors (82689656784).

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

41214412848 is a wasteful number, since it uses less digits than its factorization.

41214412848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7223 (or 7217 counting only the distinct ones).

The product of its digits is 65536, while the sum is 39.

The spelling of 41214412848 in words is "forty-one billion, two hundred fourteen million, four hundred twelve thousand, eight hundred forty-eight".