1855825440 has 192 divisors, whose sum is σ = 6711828480. Its totient is φ = 422231040.

The previous prime is 1855825397. The next prime is 1855825457. The reversal of 1855825440 is 445285581.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1855825392 and 1855825401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 801885 + ... + 804195.

It is an arithmetic number, because the mean of its divisors is an integer number (34957440).

Almost surely, 2^1855825440 is an apocalyptic number.

1855825440 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 1855825440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355914240).

1855825440 is an abundant number, since it is smaller than the sum of its proper divisors (4856003040).

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

1855825440 is a wasteful number, since it uses less digits than its factorization.

1855825440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 42.

The square root of 1855825440 is about 43079.2924732986. The cubic root of 1855825440 is about 1228.8882015071. Note that the first 3 decimals are identical.

The spelling of 1855825440 in words is "one billion, eight hundred fifty-five million, eight hundred twenty-five thousand, four hundred forty".