4194327040 has 80 divisors (see below), whose sum is σ = 10648226952. Its totient is φ = 1579024384.

The previous prime is 4194327029. The next prime is 4194327089. The reversal of 4194327040 is 407234914.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4073502976 + 120824064 = 63824^2 + 10992^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 4194326987 and 4194327005.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4669 + ... + 91708.

Almost surely, 2^4194327040 is an apocalyptic number.

4194327040 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 4194327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5324113476).

4194327040 is an abundant number, since it is smaller than the sum of its proper divisors (6453899912).

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

4194327040 is an equidigital number, since it uses as much as digits as its factorization.

4194327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96417 (or 96401 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 4194327040 is about 64763.6243581225. The cubic root of 4194327040 is about 1612.7018968000.

The spelling of 4194327040 in words is "four billion, one hundred ninety-four million, three hundred twenty-seven thousand, forty".