4257206628480 has 1152 divisors, whose sum is σ = 16621616007360. Its totient is φ = 997856133120.

The previous prime is 4257206628473. The next prime is 4257206628481. The reversal of 4257206628480 is 848266027524.

4257206628480 is a `hidden beast` number, since 4 + 2 + 5 + 7 + 2 + 0 + 6 + 628 + 4 + 8 + 0 = 666.

4257206628480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×4257206628480² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4257206628481) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4821298119 + ... + 4821299001.

Almost surely, 2^{4257206628480} is an apocalyptic number.

4257206628480 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 4257206628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8310808003680).

4257206628480 is an abundant number, since it is smaller than the sum of its proper divisors (12364409378880).

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

4257206628480 is a wasteful number, since it uses less digits than its factorization.

4257206628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 4257206628480 in words is "four trillion, two hundred fifty-seven billion, two hundred six million, six hundred twenty-eight thousand, four hundred eighty".