1411440400 has 60 divisors (see below), whose sum is σ = 3437508532. Its totient is φ = 556830720.

The previous prime is 1411440391. The next prime is 1411440427. The reversal of 1411440400 is 40441141.

It can be written as a sum of positive squares in 6 ways, for example, as 13278736 + 1398161664 = 3644^2 + 37392^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5032 + ... + 53368.

Almost surely, 2^1411440400 is an apocalyptic number.

1411440400 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 1411440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718754266).

1411440400 is an abundant number, since it is smaller than the sum of its proper divisors (2026068132).

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

1411440400 is a wasteful number, since it uses less digits than its factorization.

1411440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48428 (or 48417 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1411440400 is about 37569.1415925358. The cubic root of 1411440400 is about 1121.7278814073.

Adding to 1411440400 its reverse (40441141), we get a palindrome (1451881541).

The spelling of 1411440400 in words is "one billion, four hundred eleven million, four hundred forty thousand, four hundred".