1813874442240 has 1280 divisors, whose sum is σ = 7136950240800. Its totient is φ = 392750432256.

The previous prime is 1813874442203. The next prime is 1813874442253. The reversal of 1813874442240 is 422444783181.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×1813874442240² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1813874442240.

It is a congruent number.

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, 34224046054 + ... + 34224046106.

Almost surely, 2^{1813874442240} is an apocalyptic number.

1813874442240 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 1813874442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3568475120400).

1813874442240 is an abundant number, since it is smaller than the sum of its proper divisors (5323075798560).

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

1813874442240 is an frugal number, since it uses more digits than its factorization.

1813874442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 48.

The spelling of 1813874442240 in words is "one trillion, eight hundred thirteen billion, eight hundred seventy-four million, four hundred forty-two thousand, two hundred forty".