1410132400 has 60 divisors (see below), whose sum is σ = 3400087192. Its totient is φ = 562014720.

The previous prime is 1410132389. The next prime is 1410132403. The reversal of 1410132400 is 42310141.

1410132400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1410132403) 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 11 ways as a sum of consecutive naturals, for example, 106972 + ... + 119428.

Almost surely, 2^1410132400 is an apocalyptic number.

1410132400 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 1410132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700043596).

1410132400 is an abundant number, since it is smaller than the sum of its proper divisors (1989954792).

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

1410132400 is a wasteful number, since it uses less digits than its factorization.

1410132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12758 (or 12747 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1410132400 is about 37551.7296539054. The cubic root of 1410132400 is about 1121.3812677558.

Adding to 1410132400 its reverse (42310141), we get a palindrome (1452442541).

The spelling of 1410132400 in words is "one billion, four hundred ten million, one hundred thirty-two thousand, four hundred".