1002401144300 has 72 divisors (see below), whose sum is σ = 2250531217200. Its totient is φ = 387080305920.

The previous prime is 1002401144293. The next prime is 1002401144351. The reversal of 1002401144300 is 34411042001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25439414 + ... + 25478786.

Almost surely, 2^{1002401144300} is an apocalyptic number.

1002401144300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002401144300 is an abundant number, since it is smaller than the sum of its proper divisors (1248130072900).

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

1002401144300 is a wasteful number, since it uses less digits than its factorization.

1002401144300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48195 (or 48188 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1002401144300 its reverse (34411042001), we get a palindrome (1036812186301).

The spelling of 1002401144300 in words is "one trillion, two billion, four hundred one million, one hundred forty-four thousand, three hundred".