1874095741440 has 480 divisors, whose sum is σ = 7001810511696. Its totient is φ = 460522782720.

The previous prime is 1874095741433. The next prime is 1874095741451. The reversal of 1874095741440 is 441475904781.

1874095741440 is a `hidden beast` number, since 1 + 8 + 7 + 40 + 95 + 74 + 1 + 440 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2803067136 + 1871292674304 = 52944^2 + 1367952^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 184798770 + ... + 184808910.

Almost surely, 2^{1874095741440} is an apocalyptic number.

1874095741440 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 1874095741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500905255848).

1874095741440 is an abundant number, since it is smaller than the sum of its proper divisors (5127714770256).

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

1874095741440 is a wasteful number, since it uses less digits than its factorization.

1874095741440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10800 (or 10781 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 1874095741440 in words is "one trillion, eight hundred seventy-four billion, ninety-five million, seven hundred forty-one thousand, four hundred forty".