1950221326944 has 384 divisors, whose sum is σ = 5793614830080. Its totient is φ = 569228083200.

The previous prime is 1950221326943. The next prime is 1950221326951. The reversal of 1950221326944 is 4496231220591.

It is a super-2 number, since 2×1950221326944² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1950221326893 and 1950221326902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1950221326943) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1887919452 + ... + 1887920484.

It is an arithmetic number, because the mean of its divisors is an integer number (15087538620).

Almost surely, 2^{1950221326944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1950221326944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2896807415040).

1950221326944 is an abundant number, since it is smaller than the sum of its proper divisors (3843393503136).

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

1950221326944 is a wasteful number, since it uses less digits than its factorization.

1950221326944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 1950221326944 in words is "one trillion, nine hundred fifty billion, two hundred twenty-one million, three hundred twenty-six thousand, nine hundred forty-four".