4241256264 has 192 divisors, whose sum is σ = 13631904000. Its totient is φ = 1165570560.

The previous prime is 4241256223. The next prime is 4241256277. The reversal of 4241256264 is 4626521424.

4241256264 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 25 + 626 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6416094 + ... + 6416754.

It is an arithmetic number, because the mean of its divisors is an integer number (70999500).

Almost surely, 2^4241256264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4241256264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6815952000).

4241256264 is an abundant number, since it is smaller than the sum of its proper divisors (9390647736).

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

4241256264 is a wasteful number, since it uses less digits than its factorization.

4241256264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1141 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 4241256264 is about 65124.9281304786. The cubic root of 4241256264 is about 1618.6943022750.

Adding to 4241256264 its reverse (4626521424), we get a palindrome (8867777688).

The spelling of 4241256264 in words is "four billion, two hundred forty-one million, two hundred fifty-six thousand, two hundred sixty-four".