1024979240064 has 128 divisors (see below), whose sum is σ = 2932711246080. Its totient is φ = 315305164800.

The previous prime is 1024979240057. The next prime is 1024979240081. The reversal of 1024979240064 is 4600429794201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1024979239995 and 1024979240022.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23945209 + ... + 23987975.

It is an arithmetic number, because the mean of its divisors is an integer number (22911806610).

Almost surely, 2^{1024979240064} 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 1024979240064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466355623040).

1024979240064 is an abundant number, since it is smaller than the sum of its proper divisors (1907732006016).

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

1024979240064 is a wasteful number, since it uses less digits than its factorization.

1024979240064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47598 (or 47586 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 1024979240064 in words is "one trillion, twenty-four billion, nine hundred seventy-nine million, two hundred forty thousand, sixty-four".