2014013030400 has 1200 divisors, whose sum is σ = 8558653699200. Its totient is φ = 458647142400.

The previous prime is 2014013030389. The next prime is 2014013030411. The reversal of 2014013030400 is 40303104102.

2014013030400 is a `hidden beast` number, since 201 + 4 + 0 + 1 + 30 + 30 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (2014013030389) and next prime (2014013030411).

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 7431782265 + ... + 7431782535.

It is an arithmetic number, because the mean of its divisors is an integer number (7132211416).

Almost surely, 2^{2014013030400} is an apocalyptic number.

2014013030400 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 2014013030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4279326849600).

2014013030400 is an abundant number, since it is smaller than the sum of its proper divisors (6544640668800).

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

2014013030400 is an frugal number, since it uses more digits than its factorization.

2014013030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2014013030400 its reverse (40303104102), we get a palindrome (2054316134502).

The spelling of 2014013030400 in words is "two trillion, fourteen billion, thirteen million, thirty thousand, four hundred".