1314412000 has 96 divisors (see below), whose sum is σ = 3523220064. Its totient is φ = 477952000.

The previous prime is 1314411991. The next prime is 1314412019. The reversal of 1314412000 is 2144131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29064 + ... + 58936.

It is an arithmetic number, because the mean of its divisors is an integer number (36700209).

Almost surely, 2^1314412000 is an apocalyptic number.

1314412000 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 1314412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761610032).

1314412000 is an abundant number, since it is smaller than the sum of its proper divisors (2208808064).

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

1314412000 is a wasteful number, since it uses less digits than its factorization.

1314412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29909 (or 29891 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1314412000 is about 36254.8203691592. The cubic root of 1314412000 is about 1095.4111867338.

Adding to 1314412000 its reverse (2144131), we get a palindrome (1316556131).

It can be divided in two parts, 1314 and 412000, that added together give a palindrome (413314).

The spelling of 1314412000 in words is "one billion, three hundred fourteen million, four hundred twelve thousand".