1861686374400 has 1404 divisors, whose sum is σ = 7376565528072. Its totient is φ = 464380231680.

The previous prime is 1861686374393. The next prime is 1861686374447. The reversal of 1861686374400 is 44736861681.

1861686374400 is a `hidden beast` number, since 1 + 8 + 6 + 168 + 6 + 3 + 74 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 11421388719 + ... + 11421388881.

Almost surely, 2^{1861686374400} is an apocalyptic number.

1861686374400 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 1861686374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3688282764036).

1861686374400 is an abundant number, since it is smaller than the sum of its proper divisors (5514879153672).

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

1861686374400 is an frugal number, since it uses more digits than its factorization.

1861686374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 1861686374400 in words is "one trillion, eight hundred sixty-one billion, six hundred eighty-six million, three hundred seventy-four thousand, four hundred".