1002122165440 has 112 divisors (see below), whose sum is σ = 2606632348320. Its totient is φ = 363933204480.

The previous prime is 1002122165423. The next prime is 1002122165483. The reversal of 1002122165440 is 445612212001.

It is a junction number, because it is equal to n+sod(n) for n = 1002122165399 and 1002122165408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2521774 + ... + 2891986.

It is an arithmetic number, because the mean of its divisors is an integer number (23273503110).

Almost surely, 2^{1002122165440} is an apocalyptic number.

1002122165440 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 1002122165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303316174160).

1002122165440 is an abundant number, since it is smaller than the sum of its proper divisors (1604510182880).

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

1002122165440 is a wasteful number, since it uses less digits than its factorization.

1002122165440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371010 (or 371000 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 1002122165440 its reverse (445612212001), we get a palindrome (1447734377441).

The spelling of 1002122165440 in words is "one trillion, two billion, one hundred twenty-two million, one hundred sixty-five thousand, four hundred forty".