1024130032440 has 128 divisors (see below), whose sum is σ = 3096944928000. Its totient is φ = 270921811968.

The previous prime is 1024130032423. The next prime is 1024130032441. The reversal of 1024130032440 is 442300314201.

1024130032440 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1024130032440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024130032441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21610291 + ... + 21657629.

It is an arithmetic number, because the mean of its divisors is an integer number (24194882250).

Almost surely, 2^{1024130032440} is an apocalyptic number.

1024130032440 is a gapful number since it is divisible by the number (10) 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 1024130032440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548472464000).

1024130032440 is an abundant number, since it is smaller than the sum of its proper divisors (2072814895560).

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

1024130032440 is a wasteful number, since it uses less digits than its factorization.

1024130032440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48789 (or 48785 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1024130032440 its reverse (442300314201), we get a palindrome (1466430346641).

The spelling of 1024130032440 in words is "one trillion, twenty-four billion, one hundred thirty million, thirty-two thousand, four hundred forty".