1811413440 has 336 divisors, whose sum is σ = 6504675840. Its totient is φ = 462274560.

The previous prime is 1811413433. The next prime is 1811413441. The reversal of 1811413440 is 443141181.

1811413440 is a `hidden beast` number, since 1 + 81 + 141 + 3 + 440 = 666.

It is a super-2 number, since 2×1811413440² = 6562437301225267200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1811413441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9483745 + ... + 9483935.

Almost surely, 2^1811413440 is an apocalyptic number.

1811413440 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 1811413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3252337920).

1811413440 is an abundant number, since it is smaller than the sum of its proper divisors (4693262400).

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

1811413440 is a wasteful number, since it uses less digits than its factorization.

1811413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1811413440 is about 42560.7030017127. The cubic root of 1811413440 is about 1219.0060523944.

The spelling of 1811413440 in words is "one billion, eight hundred eleven million, four hundred thirteen thousand, four hundred forty".