1874093340800 has 384 divisors, whose sum is σ = 4830119424000. Its totient is φ = 718007685120.

The previous prime is 1874093340781. The next prime is 1874093340817. The reversal of 1874093340800 is 80433904781.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1803746681 + ... + 1803747719.

It is an arithmetic number, because the mean of its divisors is an integer number (12578436000).

Almost surely, 2^{1874093340800} is an apocalyptic number.

1874093340800 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 1874093340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415059712000).

1874093340800 is an abundant number, since it is smaller than the sum of its proper divisors (2956026083200).

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

1874093340800 is a wasteful number, since it uses less digits than its factorization.

1874093340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 47.

The spelling of 1874093340800 in words is "one trillion, eight hundred seventy-four billion, ninety-three million, three hundred forty thousand, eight hundred".