2014111200400 has 240 divisors, whose sum is σ = 5375663449408. Its totient is φ = 720555264000.

The previous prime is 2014111200323. The next prime is 2014111200401. The reversal of 2014111200400 is 40021114102.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2014111200401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21205015 + ... + 21299785.

Almost surely, 2^{2014111200400} is an apocalyptic number.

2014111200400 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 2014111200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2687831724704).

2014111200400 is an abundant number, since it is smaller than the sum of its proper divisors (3361552249008).

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

2014111200400 is a wasteful number, since it uses less digits than its factorization.

2014111200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94930 (or 94919 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2014111200400 its reverse (40021114102), we get a palindrome (2054132314502).

The spelling of 2014111200400 in words is "two trillion, fourteen billion, one hundred eleven million, two hundred thousand, four hundred".