1944328458240 has 624 divisors, whose sum is σ = 7987717465728. Its totient is φ = 444409970688.

The previous prime is 1944328458223. The next prime is 1944328458251. The reversal of 1944328458240 is 428548234491.

1944328458240 is a `hidden beast` number, since 1 + 9 + 443 + 2 + 84 + 5 + 82 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 34808574 + ... + 34864386.

It is an arithmetic number, because the mean of its divisors is an integer number (12800829272).

Almost surely, 2^{1944328458240} is an apocalyptic number.

1944328458240 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 1944328458240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3993858732864).

1944328458240 is an abundant number, since it is smaller than the sum of its proper divisors (6043389007488).

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

1944328458240 is an frugal number, since it uses more digits than its factorization.

1944328458240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55864 (or 55830 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 1944328458240 in words is "one trillion, nine hundred forty-four billion, three hundred twenty-eight million, four hundred fifty-eight thousand, two hundred forty".