1805895338240 has 288 divisors, whose sum is σ = 4971783608064. Its totient is φ = 615650918400.

The previous prime is 1805895338213. The next prime is 1805895338263. The reversal of 1805895338240 is 428335985081.

It is a happy number.

It is a super-2 number, since 2×1805895338240² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1991063867 + ... + 1991064773.

It is an arithmetic number, because the mean of its divisors is an integer number (17263137528).

Almost surely, 2^{1805895338240} is an apocalyptic number.

1805895338240 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 1805895338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485891804032).

1805895338240 is an abundant number, since it is smaller than the sum of its proper divisors (3165888269824).

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

1805895338240 is an equidigital number, since it uses as much as digits as its factorization.

1805895338240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 56.

The spelling of 1805895338240 in words is "one trillion, eight hundred five billion, eight hundred ninety-five million, three hundred thirty-eight thousand, two hundred forty".