1868031590400 has 1596 divisors, whose sum is σ = 7674227893872. Its totient is φ = 448454983680.

The previous prime is 1868031590363. The next prime is 1868031590407. The reversal of 1868031590400 is 40951308681.

1868031590400 is a `hidden beast` number, since 1 + 86 + 80 + 3 + 1 + 5 + 90 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1868031590407) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 81218764789 + ... + 81218764811.

Almost surely, 2^{1868031590400} is an apocalyptic number.

1868031590400 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 1868031590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3837113946936).

1868031590400 is an abundant number, since it is smaller than the sum of its proper divisors (5806196303472).

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

1868031590400 is an frugal number, since it uses more digits than its factorization.

1868031590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1868031590400 in words is "one trillion, eight hundred sixty-eight billion, thirty-one million, five hundred ninety thousand, four hundred".