40002442024000 has 112 divisors (see below), whose sum is σ = 99094972697136. Its totient is φ = 15996304896000.

The previous prime is 40002442023989. The next prime is 40002442024007. The reversal of 40002442024000 is 42024420004.

It can be written as a sum of positive squares in 8 ways, for example, as 22470937083904 + 17531504940096 = 4740352^2 + 4187064^2 .

It is not an unprimeable number, because it can be changed into a prime (40002442024007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26735730 + ... + 28192270.

Almost surely, 2^{40002442024000} is an apocalyptic number.

40002442024000 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 40002442024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49547486348568).

40002442024000 is an abundant number, since it is smaller than the sum of its proper divisors (59092530673136).

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

40002442024000 is a wasteful number, since it uses less digits than its factorization.

40002442024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460001 (or 1459981 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 40002442024000 its reverse (42024420004), we get a palindrome (40044466444004).

The spelling of 40002442024000 in words is "forty trillion, two billion, four hundred forty-two million, twenty-four thousand".