1813057440 has 96 divisors (see below), whose sum is σ = 5741015616. Its totient is φ = 480952320.

The previous prime is 1813057439. The next prime is 1813057447. The reversal of 1813057440 is 447503181.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1813057447) 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, 82855 + ... + 102425.

It is an arithmetic number, because the mean of its divisors is an integer number (59802246).

Almost surely, 2^1813057440 is an apocalyptic number.

1813057440 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 1813057440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2870507808).

1813057440 is an abundant number, since it is smaller than the sum of its proper divisors (3927958176).

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

1813057440 is a wasteful number, since it uses less digits than its factorization.

1813057440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19782 (or 19774 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 1813057440 is about 42580.0122123045. The cubic root of 1813057440 is about 1219.3747221368.

The spelling of 1813057440 in words is "one billion, eight hundred thirteen million, fifty-seven thousand, four hundred forty".