1412400000 has 384 divisors, whose sum is σ = 5163419520. Its totient is φ = 339200000.

The previous prime is 1412399987. The next prime is 1412400047. The reversal of 1412400000 is 42141.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 13199947 + ... + 13200053.

It is an arithmetic number, because the mean of its divisors is an integer number (13446405).

Almost surely, 2^1412400000 is an apocalyptic number.

1412400000 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 1412400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2581709760).

1412400000 is an abundant number, since it is smaller than the sum of its proper divisors (3751019520).

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

1412400000 is an equidigital number, since it uses as much as digits as its factorization.

1412400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1412400000 is about 37581.9105421744. The cubic root of 1412400000 is about 1121.9820345940.

Adding to 1412400000 its reverse (42141), we get a palindrome (1412442141).

The spelling of 1412400000 in words is "one billion, four hundred twelve million, four hundred thousand".