1866857725440 has 1680 divisors, whose sum is σ = 7545506105808. Its totient is φ = 441161220096.

The previous prime is 1866857725409. The next prime is 1866857725441. The reversal of 1866857725440 is 445277586681.

1866857725440 is a `hidden beast` number, since 1 + 8 + 6 + 6 + 8 + 577 + 2 + 54 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1866857725441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 11453114799 + ... + 11453114961.

Almost surely, 2^{1866857725440} is an apocalyptic number.

1866857725440 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 1866857725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3772753052904).

1866857725440 is an abundant number, since it is smaller than the sum of its proper divisors (5678648380368).

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

1866857725440 is an equidigital number, since it uses as much as digits as its factorization.

1866857725440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 1866857725440 in words is "one trillion, eight hundred sixty-six billion, eight hundred fifty-seven million, seven hundred twenty-five thousand, four hundred forty".