1411160400 has 720 divisors, whose sum is σ = 5952049600. Its totient is φ = 314772480.

The previous prime is 1411160389. The next prime is 1411160441. The reversal of 1411160400 is 40611141.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 61354789 + ... + 61354811.

Almost surely, 2^1411160400 is an apocalyptic number.

1411160400 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 1411160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976024800).

1411160400 is an abundant number, since it is smaller than the sum of its proper divisors (4540889200).

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

1411160400 is a wasteful number, since it uses less digits than its factorization.

1411160400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 65 counting only the distinct ones).

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

The square root of 1411160400 is about 37565.4149451327. The cubic root of 1411160400 is about 1121.6537007858.

Adding to 1411160400 its reverse (40611141), we get a palindrome (1451771541).

The spelling of 1411160400 in words is "one billion, four hundred eleven million, one hundred sixty thousand, four hundred".