1950440544 has 144 divisors (see below), whose sum is σ = 5991030864. Its totient is φ = 598348800.

The previous prime is 1950440519. The next prime is 1950440567. The reversal of 1950440544 is 4450440591.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1950440499 and 1950440508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1837774 + ... + 1838834.

It is an arithmetic number, because the mean of its divisors is an integer number (41604381).

Almost surely, 2^1950440544 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 1950440544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2995515432).

1950440544 is an abundant number, since it is smaller than the sum of its proper divisors (4040590320).

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

1950440544 is a wasteful number, since it uses less digits than its factorization.

1950440544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1950440544 is about 44163.7922284760. The cubic root of 1950440544 is about 1249.4270534793.

The spelling of 1950440544 in words is "one billion, nine hundred fifty million, four hundred forty thousand, five hundred forty-four".