1813103040 has 448 divisors, whose sum is σ = 7110374400. Its totient is φ = 382009344.

The previous prime is 1813103021. The next prime is 1813103059. The reversal of 1813103040 is 403013181.

It is an interprime number because it is at equal distance from previous prime (1813103021) and next prime (1813103059).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1813102998 and 1813103016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6740026 + ... + 6740294.

Almost surely, 2^1813103040 is an apocalyptic number.

1813103040 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 1813103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555187200).

1813103040 is an abundant number, since it is smaller than the sum of its proper divisors (5297271360).

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

1813103040 is a wasteful number, since it uses less digits than its factorization.

1813103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1813103040 is about 42580.5476714426. The cubic root of 1813103040 is about 1219.3849448358.

The spelling of 1813103040 in words is "one billion, eight hundred thirteen million, one hundred three thousand, forty".