40241020430000 has 200 divisors, whose sum is σ = 105508177513200. Its totient is φ = 14775207552000.

The previous prime is 40241020429969. The next prime is 40241020430027. The reversal of 40241020430000 is 3402014204.

40241020430000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22405346 + ... + 24134654.

It is an arithmetic number, because the mean of its divisors is an integer number (527540887566).

Almost surely, 2^{40241020430000} is an apocalyptic number.

40241020430000 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 40241020430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52754088756600).

40241020430000 is an abundant number, since it is smaller than the sum of its proper divisors (65267157083200).

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

40241020430000 is a wasteful number, since it uses less digits than its factorization.

40241020430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729529 (or 1729508 counting only the distinct ones).

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

Adding to 40241020430000 its reverse (3402014204), we get a palindrome (40244422444204).

The spelling of 40241020430000 in words is "forty trillion, two hundred forty-one billion, twenty million, four hundred thirty thousand".