4261296848256 has 384 divisors, whose sum is σ = 14446622548800. Its totient is φ = 1180181643264.

The previous prime is 4261296848213. The next prime is 4261296848257. The reversal of 4261296848256 is 6528486921624.

4261296848256 is a `hidden beast` number, since 4 + 2 + 6 + 12 + 96 + 8 + 482 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 4261296848193 and 4261296848202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4261296848257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80234446 + ... + 80287538.

Almost surely, 2^{4261296848256} 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 4261296848256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7223311274400).

4261296848256 is an abundant number, since it is smaller than the sum of its proper divisors (10185325700544).

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

4261296848256 is a wasteful number, since it uses less digits than its factorization.

4261296848256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53426 (or 53411 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 63.

The spelling of 4261296848256 in words is "four trillion, two hundred sixty-one billion, two hundred ninety-six million, eight hundred forty-eight thousand, two hundred fifty-six".