41624424040 has 128 divisors (see below), whose sum is σ = 99767520000. Its totient is φ = 15585343488.

The previous prime is 41624424029. The next prime is 41624424071. The reversal of 41624424040 is 4042442614.

It is a junction number, because it is equal to n+sod(n) for n = 41624423993 and 41624424011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23743804 + ... + 23745556.

It is an arithmetic number, because the mean of its divisors is an integer number (779433750).

Almost surely, 2^41624424040 is an apocalyptic number.

41624424040 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 41624424040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49883760000).

41624424040 is an abundant number, since it is smaller than the sum of its proper divisors (58143095960).

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

41624424040 is a wasteful number, since it uses less digits than its factorization.

41624424040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 41624424040 its reverse (4042442614), we get a palindrome (45666866654).

The spelling of 41624424040 in words is "forty-one billion, six hundred twenty-four million, four hundred twenty-four thousand, forty".