1825813440 has 224 divisors, whose sum is σ = 7026981120. Its totient is φ = 442598400.

The previous prime is 1825813421. The next prime is 1825813441. The reversal of 1825813440 is 443185281.

1825813440 is a `hidden beast` number, since 1 + 8 + 2 + 581 + 34 + 40 = 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 = 1825813395 and 1825813404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1825813441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85435 + ... + 104645.

Almost surely, 2^1825813440 is an apocalyptic number.

1825813440 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 1825813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3513490560).

1825813440 is an abundant number, since it is smaller than the sum of its proper divisors (5201167680).

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

1825813440 is a wasteful number, since it uses less digits than its factorization.

1825813440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19248 (or 19232 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1825813440 is about 42729.5382610203. The cubic root of 1825813440 is about 1222.2277311536.

The spelling of 1825813440 in words is "one billion, eight hundred twenty-five million, eight hundred thirteen thousand, four hundred forty".