1866307826240 has 224 divisors, whose sum is σ = 5225553720576. Its totient is φ = 625917911040.

The previous prime is 1866307826237. The next prime is 1866307826249. The reversal of 1866307826240 is 426287036681.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1866307826249) 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 31 ways as a sum of consecutive naturals, for example, 55490069 + ... + 55523691.

It is an arithmetic number, because the mean of its divisors is an integer number (23328364824).

Almost surely, 2^{1866307826240} is an apocalyptic number.

1866307826240 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 1866307826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612776860288).

1866307826240 is an abundant number, since it is smaller than the sum of its proper divisors (3359245894336).

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

1866307826240 is a wasteful number, since it uses less digits than its factorization.

1866307826240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34877 (or 34867 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 53.

The spelling of 1866307826240 in words is "one trillion, eight hundred sixty-six billion, three hundred seven million, eight hundred twenty-six thousand, two hundred forty".