1849005955440 has 720 divisors, whose sum is σ = 7540906726080. Its totient is φ = 397592616960.

The previous prime is 1849005955427. The next prime is 1849005955441. The reversal of 1849005955440 is 445595009481.

1849005955440 is a `hidden beast` number, since 1 + 8 + 4 + 9 + 0 + 0 + 5 + 95 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1849005955441) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 162630076 + ... + 162641444.

It is an arithmetic number, because the mean of its divisors is an integer number (10473481564).

Almost surely, 2^{1849005955440} is an apocalyptic number.

1849005955440 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 1849005955440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3770453363040).

1849005955440 is an abundant number, since it is smaller than the sum of its proper divisors (5691900770640).

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

1849005955440 is a wasteful number, since it uses less digits than its factorization.

1849005955440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11502 (or 11470 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 1849005955440 in words is "one trillion, eight hundred forty-nine billion, five million, nine hundred fifty-five thousand, four hundred forty".