1118380400 has 60 divisors (see below), whose sum is σ = 2732507400. Its totient is φ = 439760640.

The previous prime is 1118380387. The next prime is 1118380423. The reversal of 1118380400 is 40838111.

It is a self number, because there is not a number n which added to its sum of digits gives 1118380400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95 + ... + 47294.

It is an arithmetic number, because the mean of its divisors is an integer number (45541790).

Almost surely, 2^1118380400 is an apocalyptic number.

1118380400 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 1118380400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366253700).

1118380400 is an abundant number, since it is smaller than the sum of its proper divisors (1614127000).

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

1118380400 is a wasteful number, since it uses less digits than its factorization.

1118380400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47466 (or 47455 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 1118380400 is about 33442.1949040430. The cubic root of 1118380400 is about 1037.9979977266.

The spelling of 1118380400 in words is "one billion, one hundred eighteen million, three hundred eighty thousand, four hundred".