1941949513728 has 576 divisors, whose sum is σ = 6622948523520. Its totient is φ = 550886178816.

The previous prime is 1941949513727. The next prime is 1941949513807. The reversal of 1941949513728 is 8273159491491.

1941949513728 is a `hidden beast` number, since 1 + 9 + 4 + 1 + 9 + 49 + 513 + 72 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1941949513727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6862012275 + ... + 6862012557.

It is an arithmetic number, because the mean of its divisors is an integer number (11498174520).

Almost surely, 2^{1941949513728} is an apocalyptic number.

1941949513728 is a gapful number since it is divisible by the number (18) 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 1941949513728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311474261760).

1941949513728 is an abundant number, since it is smaller than the sum of its proper divisors (4680999009792).

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

1941949513728 is an frugal number, since it uses more digits than its factorization.

1941949513728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 572 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 63.

The spelling of 1941949513728 in words is "one trillion, nine hundred forty-one billion, nine hundred forty-nine million, five hundred thirteen thousand, seven hundred twenty-eight".