1820445442760 has 384 divisors, whose sum is σ = 5076807321600. Its totient is φ = 575080058880.

The previous prime is 1820445442597. The next prime is 1820445442769. The reversal of 1820445442760 is 672445440281.

It is a super-2 number, since 2×1820445442760² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1820445442769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2109438089 + ... + 2109438951.

It is an arithmetic number, because the mean of its divisors is an integer number (13220852400).

Almost surely, 2^{1820445442760} is an apocalyptic number.

1820445442760 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 1820445442760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2538403660800).

1820445442760 is an abundant number, since it is smaller than the sum of its proper divisors (3256361878840).

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

1820445442760 is a wasteful number, since it uses less digits than its factorization.

1820445442760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 47.

The spelling of 1820445442760 in words is "one trillion, eight hundred twenty billion, four hundred forty-five million, four hundred forty-two thousand, seven hundred sixty".