1010939408640 has 2016 divisors, whose sum is σ = 4400982512640. Its totient is φ = 217570738176.

The previous prime is 1010939408639. The next prime is 1010939408683. The reversal of 1010939408640 is 468049390101.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 11358869716 + ... + 11358869804.

It is an arithmetic number, because the mean of its divisors is an integer number (2183027040).

Almost surely, 2^{1010939408640} is an apocalyptic number.

1010939408640 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 1010939408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2200491256320).

1010939408640 is an abundant number, since it is smaller than the sum of its proper divisors (3390043104000).

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

1010939408640 is an frugal number, since it uses more digits than its factorization.

1010939408640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 1010939408640 in words is "one trillion, ten billion, nine hundred thirty-nine million, four hundred eight thousand, six hundred forty".