1819130040 has 192 divisors, whose sum is σ = 7276651200. Its totient is φ = 383809536.

The previous prime is 1819130029. The next prime is 1819130051. The reversal of 1819130040 is 400319181.

1819130040 = 4729² + 4730² + ... + 4808².

It is an interprime number because it is at equal distance from previous prime (1819130029) and next prime (1819130051).

It is a junction number, because it is equal to n+sod(n) for n = 1819129986 and 1819130013.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4996 + ... + 60524.

It is an arithmetic number, because the mean of its divisors is an integer number (37899225).

Almost surely, 2^1819130040 is an apocalyptic number.

1819130040 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 1819130040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638325600).

1819130040 is an abundant number, since it is smaller than the sum of its proper divisors (5457521160).

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

1819130040 is a wasteful number, since it uses less digits than its factorization.

1819130040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55566 (or 55559 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1819130040 is about 42651.2607082135. The cubic root of 1819130040 is about 1220.7345840315.

The spelling of 1819130040 in words is "one billion, eight hundred nineteen million, one hundred thirty thousand, forty".