4400452140040 has 256 divisors, whose sum is σ = 11410785239040. Its totient is φ = 1512701568000.

The previous prime is 4400452139989. The next prime is 4400452140041. The reversal of 4400452140040 is 400412540044.

It is a junction number, because it is equal to n+sod(n) for n = 4400452139990 and 4400452140008.

It is not an unprimeable number, because it can be changed into a prime (4400452140041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133691185 + ... + 133724095.

It is an arithmetic number, because the mean of its divisors is an integer number (44573379840).

Almost surely, 2^{4400452140040} is an apocalyptic number.

4400452140040 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 4400452140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5705392619520).

4400452140040 is an abundant number, since it is smaller than the sum of its proper divisors (7010333099000).

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

4400452140040 is a wasteful number, since it uses less digits than its factorization.

4400452140040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33204 (or 33200 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

Adding to 4400452140040 its reverse (400412540044), we get a palindrome (4800864680084).

The spelling of 4400452140040 in words is "four trillion, four hundred billion, four hundred fifty-two million, one hundred forty thousand, forty".