1830922813440 has 816 divisors, whose sum is σ = 7490500033536. Its totient is φ = 404855193600.

The previous prime is 1830922813403. The next prime is 1830922813483. The reversal of 1830922813440 is 443182290381.

1830922813440 is a `hidden beast` number, since 1 + 83 + 0 + 9 + 228 + 1 + 344 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 639957610 + ... + 639960470.

Almost surely, 2^{1830922813440} is an apocalyptic number.

1830922813440 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 1830922813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745250016768).

1830922813440 is an abundant number, since it is smaller than the sum of its proper divisors (5659577220096).

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

1830922813440 is an equidigital number, since it uses as much as digits as its factorization.

1830922813440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2942 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1830922813440 in words is "one trillion, eight hundred thirty billion, nine hundred twenty-two million, eight hundred thirteen thousand, four hundred forty".