4404272073840 has 640 divisors, whose sum is σ = 16289086003200. Its totient is φ = 1090521169920.

The previous prime is 4404272073833. The next prime is 4404272073847. The reversal of 4404272073840 is 483702724044.

4404272073840 is a `hidden beast` number, since 4 + 40 + 4 + 27 + 207 + 384 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4404272073833) and next prime (4404272073847).

It is a super-2 number, since 2×4404272073840² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4404272073847) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 504089952 + ... + 504098688.

It is an arithmetic number, because the mean of its divisors is an integer number (25451696880).

Almost surely, 2^{4404272073840} is an apocalyptic number.

4404272073840 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 4404272073840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8144543001600).

4404272073840 is an abundant number, since it is smaller than the sum of its proper divisors (11884813929360).

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

4404272073840 is a wasteful number, since it uses less digits than its factorization.

4404272073840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9022 (or 9010 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 45.

Adding to 4404272073840 its reverse (483702724044), we get a palindrome (4887974797884).

The spelling of 4404272073840 in words is "four trillion, four hundred four billion, two hundred seventy-two million, seventy-three thousand, eight hundred forty".