1993118400 has 840 divisors, whose sum is σ = 9070218080. Its totient is φ = 420526080.

The previous prime is 1993118389. The next prime is 1993118401. The reversal of 1993118400 is 48113991.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1950 × 546 × 1872.

It is not an unprimeable number, because it can be changed into a prime (1993118401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 153316794 + ... + 153316806.

Almost surely, 2^1993118400 is an apocalyptic number.

1993118400 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 1993118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4535109040).

1993118400 is an abundant number, since it is smaller than the sum of its proper divisors (7077099680).

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

1993118400 is an equidigital number, since it uses as much as digits as its factorization.

1993118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 1993118400 is about 44644.3546263131. The cubic root of 1993118400 is about 1258.4743438991.

The spelling of 1993118400 in words is "one billion, nine hundred ninety-three million, one hundred eighteen thousand, four hundred".