1024420224400 has 120 divisors (see below), whose sum is σ = 2635226100360. Its totient is φ = 381330554880.

The previous prime is 1024420224391. The next prime is 1024420224433. The reversal of 1024420224400 is 44220244201.

It can be written as a sum of positive squares in 12 ways, for example, as 199687434496 + 824732789904 = 446864^2 + 908148^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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, 241149 + ... + 1451548.

It is an arithmetic number, because the mean of its divisors is an integer number (21960217503).

Almost surely, 2^{1024420224400} is an apocalyptic number.

1024420224400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1024420224400 is an abundant number, since it is smaller than the sum of its proper divisors (1610805875960).

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

1024420224400 is a wasteful number, since it uses less digits than its factorization.

1024420224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692821 (or 1692810 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 1024420224400 its reverse (44220244201), we get a palindrome (1068640468601).

The spelling of 1024420224400 in words is "one trillion, twenty-four billion, four hundred twenty million, two hundred twenty-four thousand, four hundred".