1020341440 has 112 divisors (see below), whose sum is σ = 2544226560. Its totient is φ = 389283840.

The previous prime is 1020341431. The next prime is 1020341473. The reversal of 1020341440 is 441430201.

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 15 ways as a sum of consecutive naturals, for example, 723456 + ... + 724864.

Almost surely, 2^1020341440 is an apocalyptic number.

1020341440 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 1020341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272113280).

1020341440 is an abundant number, since it is smaller than the sum of its proper divisors (1523885120).

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

1020341440 is a wasteful number, since it uses less digits than its factorization.

1020341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1020341440 is about 31942.7838486253. The cubic root of 1020341440 is about 1006.7350177020.

Adding to 1020341440 its reverse (441430201), we get a palindrome (1461771641).

The spelling of 1020341440 in words is "one billion, twenty million, three hundred forty-one thousand, four hundred forty".