1412240400 has 240 divisors, whose sum is σ = 5145117120. Its totient is φ = 367718400.

The previous prime is 1412240329. The next prime is 1412240413. The reversal of 1412240400 is 40422141.

1412240400 is a `hidden beast` number, since 1 + 41 + 224 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 462880 + ... + 465920.

It is an arithmetic number, because the mean of its divisors is an integer number (21437988).

Almost surely, 2^1412240400 is an apocalyptic number.

1412240400 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 1412240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572558560).

1412240400 is an abundant number, since it is smaller than the sum of its proper divisors (3732876720).

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

1412240400 is a wasteful number, since it uses less digits than its factorization.

1412240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3111 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1412240400 is about 37579.7871202060. The cubic root of 1412240400 is about 1121.9397719966.

Adding to 1412240400 its reverse (40422141), we get a palindrome (1452662541).

The spelling of 1412240400 in words is "one billion, four hundred twelve million, two hundred forty thousand, four hundred".