24442444121040 has 240 divisors, whose sum is σ = 89552042963136. Its totient is φ = 5925188505600.

The previous prime is 24442444120981. The next prime is 24442444121041. The reversal of 24442444121040 is 4012144424442.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×24442444121040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 24442444120986 and 24442444121004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24442444121041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242119375 + ... + 242220305.

Almost surely, 2^{24442444121040} is an apocalyptic number.

24442444121040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24442444121040 is an abundant number, since it is smaller than the sum of its proper divisors (65109598842096).

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

24442444121040 is a wasteful number, since it uses less digits than its factorization.

24442444121040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131538 (or 131529 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 24442444121040 its reverse (4012144424442), we get a palindrome (28454588545482).

The spelling of 24442444121040 in words is "twenty-four trillion, four hundred forty-two billion, four hundred forty-four million, one hundred twenty-one thousand, forty".