41442401000 has 512 divisors, whose sum is σ = 137120256000. Its totient is φ = 11290752000.

The previous prime is 41442400999. The next prime is 41442401009. The reversal of 41442401000 is 10424414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (41442401009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19017911 + ... + 19020089.

It is an arithmetic number, because the mean of its divisors is an integer number (267813000).

Almost surely, 2^41442401000 is an apocalyptic number.

41442401000 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 41442401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68560128000).

41442401000 is an abundant number, since it is smaller than the sum of its proper divisors (95677855000).

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

41442401000 is a wasteful number, since it uses less digits than its factorization.

41442401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 41442401000 its reverse (10424414), we get a palindrome (41452825414).

The spelling of 41442401000 in words is "forty-one billion, four hundred forty-two million, four hundred one thousand".