4271224623120 has 1920 divisors, whose sum is σ = 18994184294400. Its totient is φ = 863048908800.

The previous prime is 4271224623103. The next prime is 4271224623121. The reversal of 4271224623120 is 213264221724.

4271224623120 is a `hidden beast` number, since 4 + 2 + 7 + 1 + 2 + 2 + 4 + 623 + 1 + 20 = 666.

It is a super-2 number, since 2×4271224623120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4271224623121) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6181221975 + ... + 6181222665.

It is an arithmetic number, because the mean of its divisors is an integer number (9892804320).

Almost surely, 2^{4271224623120} is an apocalyptic number.

4271224623120 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 4271224623120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9497092147200).

4271224623120 is an abundant number, since it is smaller than the sum of its proper divisors (14722959671280).

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

4271224623120 is a wasteful number, since it uses less digits than its factorization.

4271224623120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 4271224623120 its reverse (213264221724), we get a palindrome (4484488844844).

The spelling of 4271224623120 in words is "four trillion, two hundred seventy-one billion, two hundred twenty-four million, six hundred twenty-three thousand, one hundred twenty".