1024105314450 has 24 divisors (see below), whose sum is σ = 2539781180208. Its totient is φ = 273094750480.

The previous prime is 1024105314431. The next prime is 1024105314451. The reversal of 1024105314450 is 544135014201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1024105314451) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3413684232 + ... + 3413684531.

It is an arithmetic number, because the mean of its divisors is an integer number (105824215842).

Almost surely, 2^{1024105314450} is an apocalyptic number.

1024105314450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1024105314450 is an abundant number, since it is smaller than the sum of its proper divisors (1515675865758).

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

1024105314450 is a wasteful number, since it uses less digits than its factorization.

1024105314450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6827368778 (or 6827368773 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 1024105314450 in words is "one trillion, twenty-four billion, one hundred five million, three hundred fourteen thousand, four hundred fifty".