4194662472 has 576 divisors, whose sum is σ = 15881823360. Its totient is φ = 978531840.

The previous prime is 4194662443. The next prime is 4194662477. The reversal of 4194662472 is 2742664914.

4194662472 is a `hidden beast` number, since 4 + 19 + 4 + 6 + 624 + 7 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4194662477) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 113369238 + ... + 113369274.

It is an arithmetic number, because the mean of its divisors is an integer number (27572610).

Almost surely, 2^4194662472 is an apocalyptic number.

4194662472 is a gapful number since it is divisible by the number (42) 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 4194662472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7940911680).

4194662472 is an abundant number, since it is smaller than the sum of its proper divisors (11687160888).

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

4194662472 is a wasteful number, since it uses less digits than its factorization.

4194662472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 73 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 4194662472 is about 64766.2139699396. The cubic root of 4194662472 is about 1612.7448864062.

It can be divided in two parts, 4194 and 662472, that added together give a palindrome (666666).

The spelling of 4194662472 in words is "four billion, one hundred ninety-four million, six hundred sixty-two thousand, four hundred seventy-two".