1024002144 has 72 divisors (see below), whose sum is σ = 3176743752. Its totient is φ = 310302720.

The previous prime is 1024002127. The next prime is 1024002149. The reversal of 1024002144 is 4412004201.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024002149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158449 + ... + 164784.

It is an arithmetic number, because the mean of its divisors is an integer number (44121441).

Almost surely, 2^1024002144 is an apocalyptic number.

It is an amenable number.

1024002144 is an abundant number, since it is smaller than the sum of its proper divisors (2152741608).

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

1024002144 is a wasteful number, since it uses less digits than its factorization.

1024002144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323260 (or 323249 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1024002144 is about 32000.0334999825. The cubic root of 1024002144 is about 1007.9375433713.

Adding to 1024002144 its reverse (4412004201), we get a palindrome (5436006345).

The spelling of 1024002144 in words is "one billion, twenty-four million, two thousand, one hundred forty-four".