40241444020000 has 120 divisors (see below), whose sum is σ = 99546958723212. Its totient is φ = 16007644800000.

The previous prime is 40241444019991. The next prime is 40241444020003. The reversal of 40241444020000 is 2044414204.

40241444020000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 10334501831824 + 29906942188176 = 3214732^2 + 5468724^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (40241444020003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1938211 + ... + 9178210.

Almost surely, 2^{40241444020000} is an apocalyptic number.

40241444020000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40241444020000 is an abundant number, since it is smaller than the sum of its proper divisors (59305514703212).

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

40241444020000 is a wasteful number, since it uses less digits than its factorization.

40241444020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11116632 (or 11116609 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 40241444020000 its reverse (2044414204), we get a palindrome (40243488434204).

The spelling of 40241444020000 in words is "forty trillion, two hundred forty-one billion, four hundred forty-four million, twenty thousand".