1030220144400 has 120 divisors (see below), whose sum is σ = 3301499877984. Its totient is φ = 274612044800.

The previous prime is 1030220144399. The next prime is 1030220144417. The reversal of 1030220144400 is 44410220301.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1030220144400² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2753347 + ... + 3105053.

Almost surely, 2^{1030220144400} is an apocalyptic number.

1030220144400 is a gapful number since it is divisible by the number (10) 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 1030220144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650749938992).

1030220144400 is an abundant number, since it is smaller than the sum of its proper divisors (2271279733584).

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

1030220144400 is a wasteful number, since it uses less digits than its factorization.

1030220144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354169 (or 354158 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 1030220144400 its reverse (44410220301), we get a palindrome (1074630364701).

The spelling of 1030220144400 in words is "one trillion, thirty billion, two hundred twenty million, one hundred forty-four thousand, four hundred".