1024042212424 has 128 divisors (see below), whose sum is σ = 2460351283200. Its totient is φ = 387912119040.

The previous prime is 1024042212409. The next prime is 1024042212481. The reversal of 1024042212424 is 4242122404201.

It is a happy number.

1024042212424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1024042212392 and 1024042212401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32782077 + ... + 32813299.

It is an arithmetic number, because the mean of its divisors is an integer number (19221494400).

Almost surely, 2^{1024042212424} is an apocalyptic number.

1024042212424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024042212424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230175641600).

1024042212424 is an abundant number, since it is smaller than the sum of its proper divisors (1436309070776).

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

1024042212424 is a wasteful number, since it uses less digits than its factorization.

1024042212424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32723 (or 32719 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 1024042212424 its reverse (4242122404201), we get a palindrome (5266164616625).

The spelling of 1024042212424 in words is "one trillion, twenty-four billion, forty-two million, two hundred twelve thousand, four hundred twenty-four".