4420453220400 has 240 divisors, whose sum is σ = 16243237152000. Its totient is φ = 1006632698880.

The previous prime is 4420453220399. The next prime is 4420453220429. The reversal of 4420453220400 is 40223540244.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1281451 + ... + 3237749.

It is an arithmetic number, because the mean of its divisors is an integer number (67680154800).

Almost surely, 2^{4420453220400} is an apocalyptic number.

4420453220400 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 4420453220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8121618576000).

4420453220400 is an abundant number, since it is smaller than the sum of its proper divisors (11822783931600).

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

4420453220400 is a wasteful number, since it uses less digits than its factorization.

4420453220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956596 (or 1956585 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 4420453220400 its reverse (40223540244), we get a palindrome (4460676760644).

The spelling of 4420453220400 in words is "four trillion, four hundred twenty billion, four hundred fifty-three million, two hundred twenty thousand, four hundred".