1020024231440 has 40 divisors (see below), whose sum is σ = 2453334148440. Its totient is φ = 393940391936.

The previous prime is 1020024231383. The next prime is 1020024231497. The reversal of 1020024231440 is 441324200201.

It is an interprime number because it is at equal distance from previous prime (1020024231383) and next prime (1020024231497).

It can be written as a sum of positive squares in 4 ways, for example, as 148243480576 + 871780750864 = 385024^2 + 933692^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219830489 + ... + 219835128.

It is an arithmetic number, because the mean of its divisors is an integer number (61333353711).

Almost surely, 2^{1020024231440} is an apocalyptic number.

1020024231440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020024231440 is an abundant number, since it is smaller than the sum of its proper divisors (1433309917000).

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

1020024231440 is a wasteful number, since it uses less digits than its factorization.

1020024231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439665659 (or 439665653 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 1020024231440 its reverse (441324200201), we get a palindrome (1461348431641).

The spelling of 1020024231440 in words is "one trillion, twenty billion, twenty-four million, two hundred thirty-one thousand, four hundred forty".