1826641024440 has 128 divisors (see below), whose sum is σ = 5506237094400. Its totient is φ = 484767106560.

The previous prime is 1826641024433. The next prime is 1826641024463. The reversal of 1826641024440 is 444201466281.

It is a junction number, because it is equal to n+sod(n) for n = 1826641024392 and 1826641024401.

It is a congruent number.

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, 69538749 + ... + 69565011.

It is an arithmetic number, because the mean of its divisors is an integer number (43017477300).

Almost surely, 2^{1826641024440} is an apocalyptic number.

1826641024440 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 1826641024440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753118547200).

1826641024440 is an abundant number, since it is smaller than the sum of its proper divisors (3679596069960).

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

1826641024440 is a wasteful number, since it uses less digits than its factorization.

1826641024440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29037 (or 29033 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 1826641024440 in words is "one trillion, eight hundred twenty-six billion, six hundred forty-one million, twenty-four thousand, four hundred forty".