4420020024400 has 120 divisors (see below), whose sum is σ = 10987202488320. Its totient is φ = 1706742535680.

The previous prime is 4420020024389. The next prime is 4420020024401. The reversal of 4420020024400 is 44200200244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4420020024401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72898897 + ... + 72959503.

It is an arithmetic number, because the mean of its divisors is an integer number (91560020736).

Almost surely, 2^{4420020024400} is an apocalyptic number.

4420020024400 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 4420020024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5493601244160).

4420020024400 is an abundant number, since it is smaller than the sum of its proper divisors (6567182463920).

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

4420020024400 is a wasteful number, since it uses less digits than its factorization.

4420020024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66941 (or 66930 counting only the distinct ones).

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

Adding to 4420020024400 its reverse (44200200244), we get a palindrome (4464220224644).

4420020024400 divided by its reverse (44200200244) gives a square (100 = 10²).

The spelling of 4420020024400 in words is "four trillion, four hundred twenty billion, twenty million, twenty-four thousand, four hundred".