41442324000 has 384 divisors, whose sum is σ = 169269295104. Its totient is φ = 8611200000.

The previous prime is 41442323999. The next prime is 41442324013. The reversal of 41442324000 is 42324414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 901575 + ... + 946425.

It is an arithmetic number, because the mean of its divisors is an integer number (440805456).

Almost surely, 2^41442324000 is an apocalyptic number.

41442324000 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 41442324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84634647552).

41442324000 is an abundant number, since it is smaller than the sum of its proper divisors (127826971104).

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

41442324000 is a wasteful number, since it uses less digits than its factorization.

41442324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44897 (or 44879 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 41442324000 its reverse (42324414), we get a palindrome (41484648414).

The spelling of 41442324000 in words is "forty-one billion, four hundred forty-two million, three hundred twenty-four thousand".