4001221567350 has 288 divisors, whose sum is σ = 13012363316160. Its totient is φ = 860500869120.

The previous prime is 4001221567349. The next prime is 4001221567363. The reversal of 4001221567350 is 537651221004.

4001221567350 is a `hidden beast` number, since 40 + 0 + 1 + 2 + 2 + 1 + 567 + 3 + 50 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 208246344 + ... + 208265556.

It is an arithmetic number, because the mean of its divisors is an integer number (45181817070).

Almost surely, 2^{4001221567350} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4001221567350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6506181658080).

4001221567350 is an abundant number, since it is smaller than the sum of its proper divisors (9011141748810).

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

4001221567350 is a wasteful number, since it uses less digits than its factorization.

4001221567350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23144 (or 23136 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 4001221567350 its reverse (537651221004), we get a palindrome (4538872788354).

The spelling of 4001221567350 in words is "four trillion, one billion, two hundred twenty-one million, five hundred sixty-seven thousand, three hundred fifty".