4257632808000 has 1680 divisors, whose sum is σ = 18649268509872. Its totient is φ = 952528896000.

The previous prime is 4257632807993. The next prime is 4257632808029. The reversal of 4257632808000 is 8082367524.

4257632808000 is a `hidden beast` number, since 4 + 2 + 5 + 7 + 632 + 8 + 0 + 8 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1155074665536 + 3102558142464 = 1074744^2 + 1761408^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1019301912 + ... + 1019306088.

Almost surely, 2^{4257632808000} is an apocalyptic number.

4257632808000 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 4257632808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9324634254936).

4257632808000 is an abundant number, since it is smaller than the sum of its proper divisors (14391635701872).

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

4257632808000 is a wasteful number, since it uses less digits than its factorization.

4257632808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4251 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 4257632808000 in words is "four trillion, two hundred fifty-seven billion, six hundred thirty-two million, eight hundred eight thousand".