1819301990400 has 780 divisors, whose sum is σ = 6768102761244. Its totient is φ = 483065856000.

The previous prime is 1819301990381. The next prime is 1819301990423. The reversal of 1819301990400 is 40991039181.

1819301990400 is a `hidden beast` number, since 18 + 19 + 30 + 199 + 0 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 597516632064 + 1221785358336 = 772992^2 + 1105344^2 .

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

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 3491942140 + ... + 3491942660.

Almost surely, 2^{1819301990400} is an apocalyptic number.

1819301990400 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 1819301990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384051380622).

1819301990400 is an abundant number, since it is smaller than the sum of its proper divisors (4948800770844).

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

1819301990400 is an equidigital number, since it uses as much as digits as its factorization.

1819301990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 1819301990400 in words is "one trillion, eight hundred nineteen billion, three hundred one million, nine hundred ninety thousand, four hundred".