1809496949040 has 640 divisors, whose sum is σ = 6878791157760. Its totient is φ = 437177917440.

The previous prime is 1809496949021. The next prime is 1809496949059. The reversal of 1809496949040 is 409496949081.

1809496949040 is a `hidden beast` number, since 1 + 8 + 0 + 9 + 49 + 69 + 490 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1809496949021) and next prime (1809496949059).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1014859989 + ... + 1014861771.

It is an arithmetic number, because the mean of its divisors is an integer number (10748111184).

Almost surely, 2^{1809496949040} is an apocalyptic number.

1809496949040 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 1809496949040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3439395578880).

1809496949040 is an abundant number, since it is smaller than the sum of its proper divisors (5069294208720).

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

1809496949040 is a wasteful number, since it uses less digits than its factorization.

1809496949040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 1809496949040 in words is "one trillion, eight hundred nine billion, four hundred ninety-six million, nine hundred forty-nine thousand, forty".