1024412101344 has 36 divisors (see below), whose sum is σ = 2913171914016. Its totient is φ = 341470700352.

The previous prime is 1024412101337. The next prime is 1024412101381. The reversal of 1024412101344 is 4431012144201.

1024412101344 is a `hidden beast` number, since 1 + 0 + 2 + 441 + 210 + 1 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1778492944 + ... + 1778493519.

It is an arithmetic number, because the mean of its divisors is an integer number (80921442056).

Almost surely, 2^{1024412101344} is an apocalyptic number.

It is an amenable number.

1024412101344 is an abundant number, since it is smaller than the sum of its proper divisors (1888759812672).

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

1024412101344 is a wasteful number, since it uses less digits than its factorization.

1024412101344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556986479 (or 3556986468 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1024412101344 its reverse (4431012144201), we get a palindrome (5455424245545).

The spelling of 1024412101344 in words is "one trillion, twenty-four billion, four hundred twelve million, one hundred one thousand, three hundred forty-four".