41042400000 has 648 divisors, whose sum is σ = 159278086800. Its totient is φ = 9354240000.

The previous prime is 41042399989. The next prime is 41042400011. The reversal of 41042400000 is 424014.

It is an interprime number because it is at equal distance from previous prime (41042399989) and next prime (41042400011).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 71 ways as a sum of consecutive naturals, for example, 117599826 + ... + 117600174.

Almost surely, 2^41042400000 is an apocalyptic number.

41042400000 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 41042400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79639043400).

41042400000 is an abundant number, since it is smaller than the sum of its proper divisors (118235686800).

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

41042400000 is an frugal number, since it uses more digits than its factorization.

41042400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 41042400000 its reverse (424014), we get a palindrome (41042824014).

The spelling of 41042400000 in words is "forty-one billion, forty-two million, four hundred thousand".