1865341440 has 160 divisors (see below), whose sum is σ = 6626093760. Its totient is φ = 497405952.

The previous prime is 1865341417. The next prime is 1865341481. The reversal of 1865341440 is 441435681.

1865341440 is a `hidden beast` number, since 1 + 86 + 534 + 1 + 4 + 40 = 666.

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

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 = 1865341395 and 1865341404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55627 + ... + 82613.

It is an arithmetic number, because the mean of its divisors is an integer number (41413086).

Almost surely, 2^1865341440 is an apocalyptic number.

1865341440 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 1865341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3313046880).

1865341440 is an abundant number, since it is smaller than the sum of its proper divisors (4760752320).

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

1865341440 is an equidigital number, since it uses as much as digits as its factorization.

1865341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27019 (or 26997 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1865341440 is about 43189.5987478467. The cubic root of 1865341440 is about 1230.9850526651.

The spelling of 1865341440 in words is "one billion, eight hundred sixty-five million, three hundred forty-one thousand, four hundred forty".