41422304000 has 288 divisors, whose sum is σ = 128657797632. Its totient is φ = 12910080000.

The previous prime is 41422303969. The next prime is 41422304009. The reversal of 41422304000 is 40322414.

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 (41422304009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2455595 + ... + 2472405.

It is an arithmetic number, because the mean of its divisors is an integer number (446728464).

Almost surely, 2^41422304000 is an apocalyptic number.

41422304000 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 41422304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64328898816).

41422304000 is an abundant number, since it is smaller than the sum of its proper divisors (87235493632).

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

41422304000 is a wasteful number, since it uses less digits than its factorization.

41422304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16860 (or 16836 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 41422304000 its reverse (40322414), we get a palindrome (41462626414).

The spelling of 41422304000 in words is "forty-one billion, four hundred twenty-two million, three hundred four thousand".