4022241320400 has 240 divisors, whose sum is σ = 13726128138240. Its totient is φ = 1003901990400.

The previous prime is 4022241320369. The next prime is 4022241320401. The reversal of 4022241320400 is 40231422204.

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 not an unprimeable number, because it can be changed into a prime (4022241320401) 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, 829665 + ... + 2955135.

It is an arithmetic number, because the mean of its divisors is an integer number (57192200576).

Almost surely, 2^{4022241320400} is an apocalyptic number.

4022241320400 is a gapful number since it is divisible by the number (40) 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 4022241320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6863064069120).

4022241320400 is an abundant number, since it is smaller than the sum of its proper divisors (9703886817840).

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

4022241320400 is a wasteful number, since it uses less digits than its factorization.

4022241320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125594 (or 2125583 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4022241320400 its reverse (40231422204), we get a palindrome (4062472742604).

The spelling of 4022241320400 in words is "four trillion, twenty-two billion, two hundred forty-one million, three hundred twenty thousand, four hundred".