2401043224000 has 224 divisors, whose sum is σ = 6264720820800. Its totient is φ = 909057945600.

The previous prime is 2401043223991. The next prime is 2401043224007. The reversal of 2401043224000 is 4223401042.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401043224007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186801574 + ... + 186814426.

Almost surely, 2^{2401043224000} is an apocalyptic number.

2401043224000 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 2401043224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3132360410400).

2401043224000 is an abundant number, since it is smaller than the sum of its proper divisors (3863677596800).

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

2401043224000 is a wasteful number, since it uses less digits than its factorization.

2401043224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14128 (or 14108 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 2401043224000 its reverse (4223401042), we get a palindrome (2405266625042).

The spelling of 2401043224000 in words is "two trillion, four hundred one billion, forty-three million, two hundred twenty-four thousand".