1838284554240 has 1200 divisors, whose sum is σ = 7013902175280. Its totient is φ = 459779604480.

The previous prime is 1838284554209. The next prime is 1838284554259. The reversal of 1838284554240 is 424554828381.

1838284554240 is a `hidden beast` number, since 1 + 8 + 3 + 8 + 2 + 84 + 554 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 422146473984 + 1416138080256 = 649728^2 + 1190016^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7889633164 + ... + 7889633396.

Almost surely, 2^{1838284554240} is an apocalyptic number.

1838284554240 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 1838284554240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3506951087640).

1838284554240 is an abundant number, since it is smaller than the sum of its proper divisors (5175617621040).

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

1838284554240 is an equidigital number, since it uses as much as digits as its factorization.

1838284554240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 54.

The spelling of 1838284554240 in words is "one trillion, eight hundred thirty-eight billion, two hundred eighty-four million, five hundred fifty-four thousand, two hundred forty".