1022338633344 has 128 divisors (see below), whose sum is σ = 3105245306880. Its totient is φ = 291935124480.

The previous prime is 1022338633343. The next prime is 1022338633363. The reversal of 1022338633344 is 4433368332201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1022338633296 and 1022338633305.

It is not an unprimeable number, because it can be changed into a prime (1022338633343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4795909 + ... + 5004539.

It is an arithmetic number, because the mean of its divisors is an integer number (24259728960).

Almost surely, 2^{1022338633344} is an apocalyptic number.

1022338633344 is a gapful number since it is divisible by the number (14) 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 1022338633344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552622653440).

1022338633344 is an abundant number, since it is smaller than the sum of its proper divisors (2082906673536).

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

1022338633344 is a wasteful number, since it uses less digits than its factorization.

1022338633344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210478 (or 210466 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 42.

The spelling of 1022338633344 in words is "one trillion, twenty-two billion, three hundred thirty-eight million, six hundred thirty-three thousand, three hundred forty-four".