1819415040 has 160 divisors (see below), whose sum is σ = 5846518656. Its totient is φ = 482672640.

The previous prime is 1819415027. The next prime is 1819415047. The reversal of 1819415040 is 405149181.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 1819414992 and 1819415010.

It is not an unprimeable number, because it can be changed into a prime (1819415047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1850389 + ... + 1851371.

Almost surely, 2^1819415040 is an apocalyptic number.

1819415040 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 1819415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2923259328).

1819415040 is an abundant number, since it is smaller than the sum of its proper divisors (4027103616).

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

1819415040 is an equidigital number, since it uses as much as digits as its factorization.

1819415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 1819415040 is about 42654.6016274915. The cubic root of 1819415040 is about 1220.7983308375.

The spelling of 1819415040 in words is "one billion, eight hundred nineteen million, four hundred fifteen thousand, forty".