1842743146320 has 320 divisors, whose sum is σ = 6375757639680. Its totient is φ = 489193689600.

The previous prime is 1842743146319. The next prime is 1842743146357. The reversal of 1842743146320 is 236413472481.

1842743146320 is a `hidden beast` number, since 1 + 8 + 4 + 2 + 7 + 4 + 3 + 1 + 4 + 632 + 0 = 666.

It is a super-3 number, since 3×1842743146320³ (a number of 38 digits) contains 333 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 797377965 + ... + 797380275.

It is an arithmetic number, because the mean of its divisors is an integer number (19924242624).

Almost surely, 2^{1842743146320} is an apocalyptic number.

1842743146320 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 1842743146320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187878819840).

1842743146320 is an abundant number, since it is smaller than the sum of its proper divisors (4533014493360).

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

1842743146320 is a wasteful number, since it uses less digits than its factorization.

1842743146320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3831 (or 3819 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 1842743146320 in words is "one trillion, eight hundred forty-two billion, seven hundred forty-three million, one hundred forty-six thousand, three hundred twenty".