1411414400 has 192 divisors, whose sum is σ = 3850936560. Its totient is φ = 506880000.

The previous prime is 1411414399. The next prime is 1411414441. The reversal of 1411414400 is 44141141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3555002 + ... + 3555398.

Almost surely, 2^1411414400 is an apocalyptic number.

1411414400 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 1411414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925468280).

1411414400 is an abundant number, since it is smaller than the sum of its proper divisors (2439522160).

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

1411414400 is a wasteful number, since it uses less digits than its factorization.

1411414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 1411414400 is about 37568.7955622748. The cubic root of 1411414400 is about 1121.7209936200.

Adding to 1411414400 its reverse (44141141), we get a palindrome (1455555541).

It can be divided in two parts, 141141 and 4400, that added together give a palindrome (145541).

The spelling of 1411414400 in words is "one billion, four hundred eleven million, four hundred fourteen thousand, four hundred".