4209778400256 has 704 divisors, whose sum is σ = 15418095705600. Its totient is φ = 1115563622400.

The previous prime is 4209778400251. The next prime is 4209778400263. The reversal of 4209778400256 is 6520048779024.

4209778400256 is a `hidden beast` number, since 4 + 209 + 7 + 7 + 8 + 400 + 25 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4209778400251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75091596 + ... + 75147636.

Almost surely, 2^{4209778400256} 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 4209778400256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7709047852800).

4209778400256 is an abundant number, since it is smaller than the sum of its proper divisors (11208317305344).

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

4209778400256 is a wasteful number, since it uses less digits than its factorization.

4209778400256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56113 (or 56089 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 4209778400256 in words is "four trillion, two hundred nine billion, seven hundred seventy-eight million, four hundred thousand, two hundred fifty-six".