2014121400 has 96 divisors (see below), whose sum is σ = 6252657840. Its totient is φ = 536335360.

The previous prime is 2014121383. The next prime is 2014121401. The reversal of 2014121400 is 41214102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2014121400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014121401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 512242 + ... + 516158.

Almost surely, 2^2014121400 is an apocalyptic number.

2014121400 is a gapful number since it is divisible by the number (20) 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 2014121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3126328920).

2014121400 is an abundant number, since it is smaller than the sum of its proper divisors (4238536440).

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

2014121400 is a wasteful number, since it uses less digits than its factorization.

2014121400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4793 (or 4784 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2014121400 is about 44878.9638917834. The cubic root of 2014121400 is about 1262.8794062779.

Adding to 2014121400 its reverse (41214102), we get a palindrome (2055335502).

The spelling of 2014121400 in words is "two billion, fourteen million, one hundred twenty-one thousand, four hundred".