1860441440400 has 405 divisors, whose sum is σ = 6544043244921. Its totient is φ = 489461495040.

The previous prime is 1860441440357. The next prime is 1860441440453. The reversal of 1860441440400 is 40441440681.

The square root of 1860441440400 is 1363980.

It is a perfect power (a square), and thus also a powerful number.

1860441440400 is a `hidden beast` number, since 1 + 8 + 604 + 4 + 1 + 4 + 4 + 0 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 669758918544 + 1190682521856 = 818388^2 + 1091184^2 .

It is a super-2 number, since 2×1860441440400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 80 ways as a sum of consecutive naturals, for example, 10393527511 + ... + 10393527689.

Almost surely, 2^{1860441440400} is an apocalyptic number.

1860441440400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1860441440400 is the 1363980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1860441440400

1860441440400 is an abundant number, since it is smaller than the sum of its proper divisors (4683601804521).

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

1860441440400 is a wasteful number, since it uses less digits than its factorization.

1860441440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Multiplying 1860441440400 by its sum of digits (36), we get a square (66975891854400 = 8183880²).

1860441440400 divided by its sum of digits (36) gives a square (51678928900 = 227330²).

The spelling of 1860441440400 in words is "one trillion, eight hundred sixty billion, four hundred forty-one million, four hundred forty thousand, four hundred".