1412790000 has 100 divisors (see below), whose sum is σ = 4560771336. Its totient is φ = 376736000.

The previous prime is 1412789999. The next prime is 1412790007. The reversal of 1412790000 is 972141.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1412790007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6454 + ... + 53546.

Almost surely, 2^1412790000 is an apocalyptic number.

1412790000 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 1412790000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280385668).

1412790000 is an abundant number, since it is smaller than the sum of its proper divisors (3147981336).

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

1412790000 is an equidigital number, since it uses as much as digits as its factorization.

1412790000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47124 (or 47103 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 1412790000 is about 37587.0988505365. The cubic root of 1412790000 is about 1122.0852944648.

The spelling of 1412790000 in words is "one billion, four hundred twelve million, seven hundred ninety thousand".