4257995805936 has 800 divisors, whose sum is σ = 13873577034240. Its totient is φ = 1255712274432.

The previous prime is 4257995805883. The next prime is 4257995805971. The reversal of 4257995805936 is 6395085997524.

It is a happy number.

4257995805936 is a `hidden beast` number, since 4 + 2 + 5 + 7 + 9 + 9 + 580 + 5 + 9 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2142925935 + ... + 2142927921.

Almost surely, 2^{4257995805936} is an apocalyptic number.

4257995805936 is a gapful number since it is divisible by the number (46) 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 4257995805936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6936788517120).

4257995805936 is an abundant number, since it is smaller than the sum of its proper divisors (9615581228304).

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

4257995805936 is a wasteful number, since it uses less digits than its factorization.

4257995805936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 734832000, while the sum is 72.

The spelling of 4257995805936 in words is "four trillion, two hundred fifty-seven billion, nine hundred ninety-five million, eight hundred five thousand, nine hundred thirty-six".