1140110400 has 504 divisors, whose sum is σ = 4457061952. Its totient is φ = 253440000.

The previous prime is 1140110393. The next prime is 1140110431. The reversal of 1140110400 is 40110411.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7550325 + ... + 7550475.

Almost surely, 2^1140110400 is an apocalyptic number.

1140110400 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 1140110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228530976).

1140110400 is an abundant number, since it is smaller than the sum of its proper divisors (3316951552).

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

1140110400 is a wasteful number, since it uses less digits than its factorization.

1140110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1140110400 is about 33765.5208755914. The cubic root of 1140110400 is about 1044.6776475729.

Adding to 1140110400 its reverse (40110411), we get a palindrome (1180220811).

The spelling of 1140110400 in words is "one billion, one hundred forty million, one hundred ten thousand, four hundred".