2013022400400 has 1080 divisors, whose sum is σ = 8002153882944. Its totient is φ = 482553676800.

The previous prime is 2013022400393. The next prime is 2013022400401. The reversal of 2013022400400 is 40042203102.

2013022400400 is a `hidden beast` number, since 20 + 1 + 3 + 0 + 2 + 240 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013022400401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2973444862 + ... + 2973445538.

Almost surely, 2^{2013022400400} is an apocalyptic number.

2013022400400 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 2013022400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4001076941472).

2013022400400 is an abundant number, since it is smaller than the sum of its proper divisors (5989131482544).

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

2013022400400 is a wasteful number, since it uses less digits than its factorization.

2013022400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2013022400400 its reverse (40042203102), we get a palindrome (2053064603502).

The spelling of 2013022400400 in words is "two trillion, thirteen billion, twenty-two million, four hundred thousand, four hundred".