1024140400000 has 96 divisors (see below), whose sum is σ = 2550187402560. Its totient is φ = 409656000000.

The previous prime is 1024140399973. The next prime is 1024140400001. The reversal of 1024140400000 is 40414201.

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 (1024140400001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 880176 + ... + 1680175.

It is an arithmetic number, because the mean of its divisors is an integer number (26564452110).

Almost surely, 2^{1024140400000} is an apocalyptic number.

1024140400000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1024140400000 is an abundant number, since it is smaller than the sum of its proper divisors (1526047002560).

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

1024140400000 is an frugal number, since it uses more digits than its factorization.

1024140400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2560390 (or 2560358 counting only the distinct ones).

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

Adding to 1024140400000 its reverse (40414201), we get a palindrome (1024180814201).

The spelling of 1024140400000 in words is "one trillion, twenty-four billion, one hundred forty million, four hundred thousand".