1024427107024 has 80 divisors (see below), whose sum is σ = 2060118300240. Its totient is φ = 492903936000.

The previous prime is 1024427107019. The next prime is 1024427107127. The reversal of 1024427107024 is 4207017244201.

It can be written as a sum of positive squares in 8 ways, for example, as 172623630400 + 851803476624 = 415480^2 + 922932^2 .

It is a congruent number.

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, 289302694 + ... + 289306234.

It is an arithmetic number, because the mean of its divisors is an integer number (25751478753).

Almost surely, 2^{1024427107024} 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 1024427107024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030059150120).

1024427107024 is an abundant number, since it is smaller than the sum of its proper divisors (1035691193216).

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

1024427107024 is a wasteful number, since it uses less digits than its factorization.

1024427107024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5480 (or 5474 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 34.

The spelling of 1024427107024 in words is "one trillion, twenty-four billion, four hundred twenty-seven million, one hundred seven thousand, twenty-four".