4256781120 has 448 divisors, whose sum is σ = 16198778880. Its totient is φ = 1049241600.

The previous prime is 4256781091. The next prime is 4256781127. The reversal of 4256781120 is 211876524.

4256781120 is a `hidden beast` number, since 4 + 2 + 567 + 81 + 12 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4256781127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6159975 + ... + 6160665.

Almost surely, 2^4256781120 is an apocalyptic number.

4256781120 is a gapful number since it is divisible by the number (40) 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 4256781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8099389440).

4256781120 is an abundant number, since it is smaller than the sum of its proper divisors (11941997760).

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

4256781120 is a wasteful number, since it uses less digits than its factorization.

4256781120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 4256781120 is about 65244.0121390461. The cubic root of 4256781120 is about 1620.6669407518. Note that the first 3 decimals are identical.

The spelling of 4256781120 in words is "four billion, two hundred fifty-six million, seven hundred eighty-one thousand, one hundred twenty".