1024020012400 has 180 divisors, whose sum is σ = 3122045790120. Its totient is φ = 319175001600.

The previous prime is 1024020012391. The next prime is 1024020012403. The reversal of 1024020012400 is 42100204201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024020012403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2159215 + ... + 2590414.

It is an arithmetic number, because the mean of its divisors is an integer number (17344698834).

Almost surely, 2^{1024020012400} is an apocalyptic number.

1024020012400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1024020012400 is an abundant number, since it is smaller than the sum of its proper divisors (2098025777720).

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

1024020012400 is a wasteful number, since it uses less digits than its factorization.

1024020012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4749672 (or 4749654 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 1024020012400 its reverse (42100204201), we get a palindrome (1066120216601).

The spelling of 1024020012400 in words is "one trillion, twenty-four billion, twenty million, twelve thousand, four hundred".