4257991656 has 96 divisors (see below), whose sum is σ = 12666888000. Its totient is φ = 1286157312.

The previous prime is 4257991627. The next prime is 4257991693. The reversal of 4257991656 is 6561997524.

4257991656 is a `hidden beast` number, since 4 + 2 + 579 + 9 + 1 + 65 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36201 + ... + 99128.

It is an arithmetic number, because the mean of its divisors is an integer number (131946750).

Almost surely, 2^4257991656 is an apocalyptic number.

4257991656 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

4257991656 is an abundant number, since it is smaller than the sum of its proper divisors (8408896344).

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

4257991656 is a wasteful number, since it uses less digits than its factorization.

4257991656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135383 (or 135376 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The square root of 4257991656 is about 65253.2884688580. The cubic root of 4257991656 is about 1620.8205536718.

The spelling of 4257991656 in words is "four billion, two hundred fifty-seven million, nine hundred ninety-one thousand, six hundred fifty-six".