1813069440 has 512 divisors, whose sum is σ = 7909977600. Its totient is φ = 382205952.

The previous prime is 1813069439. The next prime is 1813069451. The reversal of 1813069440 is 449603181.

1813069440 is a `hidden beast` number, since 181 + 30 + 6 + 9 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1813069395 and 1813069404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1571904 + ... + 1573056.

It is an arithmetic number, because the mean of its divisors is an integer number (15449175).

Almost surely, 2^1813069440 is an apocalyptic number.

1813069440 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 1813069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3954988800).

1813069440 is an abundant number, since it is smaller than the sum of its proper divisors (6096908160).

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

1813069440 is a wasteful number, since it uses less digits than its factorization.

1813069440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1813069440 is about 42580.1531232568. The cubic root of 1813069440 is about 1219.3774123374.

The spelling of 1813069440 in words is "one billion, eight hundred thirteen million, sixty-nine thousand, four hundred forty".