4178540256 has 192 divisors, whose sum is σ = 12389884416. Its totient is φ = 1222041600.

The previous prime is 4178540243. The next prime is 4178540257. The reversal of 4178540256 is 6520458714.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4178540257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4459020 + ... + 4459956.

It is an arithmetic number, because the mean of its divisors is an integer number (64530648).

Almost surely, 2^4178540256 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 4178540256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6194942208).

4178540256 is an abundant number, since it is smaller than the sum of its proper divisors (8211344160).

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

4178540256 is a wasteful number, since it uses less digits than its factorization.

4178540256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 4178540256 is about 64641.6294349083. The cubic root of 4178540256 is about 1610.6760346528.

The spelling of 4178540256 in words is "four billion, one hundred seventy-eight million, five hundred forty thousand, two hundred fifty-six".