1024040032 has 24 divisors (see below), whose sum is σ = 2017001952. Its totient is φ = 511785600.

The previous prime is 1024040027. The next prime is 1024040047. The reversal of 1024040032 is 2300404201.

It is a super-2 number, since 2×1024040032² = 2097315974277122048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1024039988 and 1024040015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 79482 + ... + 91462.

It is an arithmetic number, because the mean of its divisors is an integer number (84041748).

Almost surely, 2^1024040032 is an apocalyptic number.

It is an amenable number.

1024040032 is a deficient number, since it is larger than the sum of its proper divisors (992961920).

1024040032 is a wasteful number, since it uses less digits than its factorization.

1024040032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14662 (or 14654 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1024040032 is about 32000.6254938868. The cubic root of 1024040032 is about 1007.9499744217.

Adding to 1024040032 its reverse (2300404201), we get a palindrome (3324444233).

It can be divided in two parts, 10240400 and 32, that multiplied together give a triangular number (327692800 = T₂₅₆₀₀).

The spelling of 1024040032 in words is "one billion, twenty-four million, forty thousand, thirty-two".