2001324441400 has 96 divisors (see below), whose sum is σ = 4744478142000. Its totient is φ = 784889164800.

The previous prime is 2001324441353. The next prime is 2001324441409. The reversal of 2001324441400 is 41444231002.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001324441409) 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, 3556551 + ... + 4080649.

Almost surely, 2^{2001324441400} is an apocalyptic number.

2001324441400 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 2001324441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372239071000).

2001324441400 is an abundant number, since it is smaller than the sum of its proper divisors (2743153700600).

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

2001324441400 is a wasteful number, since it uses less digits than its factorization.

2001324441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524489 (or 524480 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 2001324441400 its reverse (41444231002), we get a palindrome (2042768672402).

The spelling of 2001324441400 in words is "two trillion, one billion, three hundred twenty-four million, four hundred forty-one thousand, four hundred".