4178386944 has 168 divisors, whose sum is σ = 12523165200. Its totient is φ = 1392132096.

The previous prime is 4178386943. The next prime is 4178386963. The reversal of 4178386944 is 4496838714.

4178386944 is a `hidden beast` number, since 4 + 178 + 386 + 94 + 4 = 666.

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (4178386943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1989607 + ... + 1991705.

It is an arithmetic number, because the mean of its divisors is an integer number (74542650).

Almost surely, 2^4178386944 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 4178386944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6261582600).

4178386944 is an abundant number, since it is smaller than the sum of its proper divisors (8344778256).

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

4178386944 is an frugal number, since it uses more digits than its factorization.

4178386944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2104 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 4178386944 is about 64640.4435628346. The cubic root of 4178386944 is about 1610.6563356695.

The spelling of 4178386944 in words is "four billion, one hundred seventy-eight million, three hundred eighty-six thousand, nine hundred forty-four".