1140201216 has 216 divisors, whose sum is σ = 4099315584. Its totient is φ = 296110080.

The previous prime is 1140201199. The next prime is 1140201217. The reversal of 1140201216 is 6121020411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140201217) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 174195 + ... + 180621.

Almost surely, 2^1140201216 is an apocalyptic number.

1140201216 is a gapful number since it is divisible by the number (16) 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 1140201216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049657792).

1140201216 is an abundant number, since it is smaller than the sum of its proper divisors (2959114368).

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

1140201216 is a wasteful number, since it uses less digits than its factorization.

1140201216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6467 (or 6450 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1140201216 is about 33766.8656525891. The cubic root of 1140201216 is about 1044.7053849236.

Adding to 1140201216 its reverse (6121020411), we get a palindrome (7261221627).

The spelling of 1140201216 in words is "one billion, one hundred forty million, two hundred one thousand, two hundred sixteen".