2013404341200 has 240 divisors, whose sum is σ = 7383769848960. Its totient is φ = 459408015360.

The previous prime is 2013404341171. The next prime is 2013404341217. The reversal of 2013404341200 is 21434043102.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4639096 + ... + 5054504.

It is an arithmetic number, because the mean of its divisors is an integer number (30765707704).

Almost surely, 2^{2013404341200} is an apocalyptic number.

2013404341200 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 2013404341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3691884924480).

2013404341200 is an abundant number, since it is smaller than the sum of its proper divisors (5370365507760).

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

2013404341200 is a wasteful number, since it uses less digits than its factorization.

2013404341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416014 (or 416003 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2013404341200 its reverse (21434043102), we get a palindrome (2034838384302).

The spelling of 2013404341200 in words is "two trillion, thirteen billion, four hundred four million, three hundred forty-one thousand, two hundred".