1801386440 has 256 divisors, whose sum is σ = 5042995200. Its totient is φ = 566092800.

The previous prime is 1801386383. The next prime is 1801386451. The reversal of 1801386440 is 446831081.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1801386440.

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, 22802321 + ... + 22802399.

It is an arithmetic number, because the mean of its divisors is an integer number (19699200).

Almost surely, 2^1801386440 is an apocalyptic number.

1801386440 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 1801386440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2521497600).

1801386440 is an abundant number, since it is smaller than the sum of its proper divisors (3241608760).

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

1801386440 is a wasteful number, since it uses less digits than its factorization.

1801386440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 1801386440 is about 42442.7430781753. The cubic root of 1801386440 is about 1216.7526377815.

The spelling of 1801386440 in words is "one billion, eight hundred one million, three hundred eighty-six thousand, four hundred forty".