1819947854240 has 96 divisors (see below), whose sum is σ = 4448497974480. Its totient is φ = 702780309504.

The previous prime is 1819947854239. The next prime is 1819947854243. The reversal of 1819947854240 is 424587499181.

It can be written as a sum of positive squares in 8 ways, for example, as 721283312656 + 1098664541584 = 849284^2 + 1048172^2 .

It is not an unprimeable number, because it can be changed into a prime (1819947854243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40517234 + ... + 40562126.

Almost surely, 2^{1819947854240} is an apocalyptic number.

1819947854240 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 1819947854240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2224248987240).

1819947854240 is an abundant number, since it is smaller than the sum of its proper divisors (2628550120240).

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

1819947854240 is a wasteful number, since it uses less digits than its factorization.

1819947854240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53674 (or 53666 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 62.

The spelling of 1819947854240 in words is "one trillion, eight hundred nineteen billion, nine hundred forty-seven million, eight hundred fifty-four thousand, two hundred forty".