1000020613440 has 224 divisors, whose sum is σ = 3191144955264. Its totient is φ = 265324584960.

The previous prime is 1000020613411. The next prime is 1000020613447. The reversal of 1000020613440 is 443160200001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000020613447) 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, 215658802 + ... + 215663438.

It is an arithmetic number, because the mean of its divisors is an integer number (14246182836).

Almost surely, 2^{1000020613440} is an apocalyptic number.

1000020613440 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 1000020613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595572477632).

1000020613440 is an abundant number, since it is smaller than the sum of its proper divisors (2191124341824).

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

1000020613440 is a wasteful number, since it uses less digits than its factorization.

1000020613440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5745 (or 5735 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1000020613440 its reverse (443160200001), we get a palindrome (1443180813441).

The spelling of 1000020613440 in words is "one trillion, twenty million, six hundred thirteen thousand, four hundred forty".