1411600440 has 256 divisors, whose sum is σ = 4790016000. Its totient is φ = 330670080.

The previous prime is 1411600427. The next prime is 1411600441. The reversal of 1411600440 is 440061141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1411600441) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3061810 + ... + 3062270.

It is an arithmetic number, because the mean of its divisors is an integer number (18711000).

Almost surely, 2^1411600440 is an apocalyptic number.

1411600440 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 1411600440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395008000).

1411600440 is an abundant number, since it is smaller than the sum of its proper divisors (3378415560).

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

1411600440 is a wasteful number, since it uses less digits than its factorization.

1411600440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1411600440 is about 37571.2714716976. The cubic root of 1411600440 is about 1121.7702765250.

Adding to 1411600440 its reverse (440061141), we get a palindrome (1851661581).

It can be divided in two parts, 1411600 and 440, that added together give a triangular number (1412040 = T₁₆₈₀).

The spelling of 1411600440 in words is "one billion, four hundred eleven million, six hundred thousand, four hundred forty".