1412040000 has 420 divisors, whose sum is σ = 5468774432. Its totient is φ = 314880000.

The previous prime is 1412039969. The next prime is 1412040011. The reversal of 1412040000 is 402141.

It is a tau number, because it is divible by the number of its divisors (420).

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

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 34439980 + ... + 34440020.

Almost surely, 2^1412040000 is an apocalyptic number.

1412040000 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 1412040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734387216).

1412040000 is an abundant number, since it is smaller than the sum of its proper divisors (4056734432).

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

1412040000 is an frugal number, since it uses more digits than its factorization.

1412040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 58 counting only the distinct ones).

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

The square root of 1412040000 is about 37577.1206986379. The cubic root of 1412040000 is about 1121.8867009174.

Adding to 1412040000 its reverse (402141), we get a palindrome (1412442141).

The spelling of 1412040000 in words is "one billion, four hundred twelve million, forty thousand".