4178274240 has 336 divisors, whose sum is σ = 15690226176. Its totient is φ = 922798080.

The previous prime is 4178274227. The next prime is 4178274257. The reversal of 4178274240 is 424728714.

It is a happy number.

4178274240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

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, 6457597 + ... + 6458243.

Almost surely, 2^4178274240 is an apocalyptic number.

4178274240 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 4178274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7845113088).

4178274240 is an abundant number, since it is smaller than the sum of its proper divisors (11511951936).

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

4178274240 is a wasteful number, since it uses less digits than its factorization.

4178274240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 39.

The square root of 4178274240 is about 64639.5717807598. The cubic root of 4178274240 is about 1610.6418540808.

The spelling of 4178274240 in words is "four billion, one hundred seventy-eight million, two hundred seventy-four thousand, two hundred forty".