1024430120064 has 192 divisors, whose sum is σ = 3222052491840. Its totient is φ = 310504347648.

The previous prime is 1024430120059. The next prime is 1024430120071. The reversal of 1024430120064 is 4600210344201.

It is a happy number.

1024430120064 is a `hidden beast` number, since 1 + 0 + 24 + 430 + 1 + 200 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 492909 + ... + 1513875.

It is an arithmetic number, because the mean of its divisors is an integer number (16781523395).

Almost surely, 2^{1024430120064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024430120064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611026245920).

1024430120064 is an abundant number, since it is smaller than the sum of its proper divisors (2197622371776).

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

1024430120064 is a wasteful number, since it uses less digits than its factorization.

1024430120064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021067 (or 1021052 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1024430120064 its reverse (4600210344201), we get a palindrome (5624640464265).

The spelling of 1024430120064 in words is "one trillion, twenty-four billion, four hundred thirty million, one hundred twenty thousand, sixty-four".