1944224040 has 256 divisors, whose sum is σ = 7031992320. Its totient is φ = 424202240.

The previous prime is 1944224033. The next prime is 1944224047. The reversal of 1944224040 is 404224491.

It is an interprime number because it is at equal distance from previous prime (1944224033) and next prime (1944224047).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1944223989 and 1944224007.

It is not an unprimeable number, because it can be changed into a prime (1944224047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 514237 + ... + 518003.

It is an arithmetic number, because the mean of its divisors is an integer number (27468720).

Almost surely, 2^1944224040 is an apocalyptic number.

1944224040 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 1944224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3515996160).

1944224040 is an abundant number, since it is smaller than the sum of its proper divisors (5087768280).

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

1944224040 is a wasteful number, since it uses less digits than its factorization.

1944224040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3832 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 1944224040 is about 44093.3559620948. The cubic root of 1944224040 is about 1248.0982366376.

The spelling of 1944224040 in words is "one billion, nine hundred forty-four million, two hundred twenty-four thousand, forty".