1412812800 has 624 divisors, whose sum is σ = 6012849280. Its totient is φ = 318504960.

The previous prime is 1412812799. The next prime is 1412812801. The reversal of 1412812800 is 82182141.

It is an interprime number because it is at equal distance from previous prime (1412812799) and next prime (1412812801).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1412812801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19353564 + ... + 19353636.

Almost surely, 2^1412812800 is an apocalyptic number.

1412812800 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 1412812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006424640).

1412812800 is an abundant number, since it is smaller than the sum of its proper divisors (4600036480).

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

1412812800 is an equidigital number, since it uses as much as digits as its factorization.

1412812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 1412812800 is about 37587.4021448676. The cubic root of 1412812800 is about 1122.0913306078.

Adding to 1412812800 its reverse (82182141), we get a palindrome (1494994941).

The spelling of 1412812800 in words is "one billion, four hundred twelve million, eight hundred twelve thousand, eight hundred".