1801184040 has 224 divisors, whose sum is σ = 6397984800. Its totient is φ = 454896000.

The previous prime is 1801184039. The next prime is 1801184069. The reversal of 1801184040 is 404811081.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1801183995 and 1801184013.

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 55 ways as a sum of consecutive naturals, for example, 552415 + ... + 555665.

Almost surely, 2^1801184040 is an apocalyptic number.

1801184040 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 1801184040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3198992400).

1801184040 is an abundant number, since it is smaller than the sum of its proper divisors (4596800760).

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

1801184040 is a wasteful number, since it uses less digits than its factorization.

1801184040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 1801184040 is about 42440.3586224245. The cubic root of 1801184040 is about 1216.7070654837.

The spelling of 1801184040 in words is "one billion, eight hundred one million, one hundred eighty-four thousand, forty".