41201424000 has 1152 divisors, whose sum is σ = 174627835200. Its totient is φ = 9206784000.

The previous prime is 41201423999. The next prime is 41201424001. The reversal of 41201424000 is 42410214.

41201424000 is a `hidden beast` number, since 4 + 120 + 142 + 400 + 0 = 666.

41201424000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41201423999) and next prime (41201424001).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (41201424001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1113551982 + ... + 1113552018.

Almost surely, 2^41201424000 is an apocalyptic number.

41201424000 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 41201424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87313917600).

41201424000 is an abundant number, since it is smaller than the sum of its proper divisors (133426411200).

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

41201424000 is a wasteful number, since it uses less digits than its factorization.

41201424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 41201424000 its reverse (42410214), we get a palindrome (41243834214).

The spelling of 41201424000 in words is "forty-one billion, two hundred one million, four hundred twenty-four thousand".