4194685440 has 480 divisors, whose sum is σ = 16461821376. Its totient is φ = 1015234560.

The previous prime is 4194685409. The next prime is 4194685447. The reversal of 4194685440 is 445864914.

4194685440 is a `hidden beast` number, since 41 + 9 + 4 + 68 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4194685447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6842574 + ... + 6843186.

Almost surely, 2^4194685440 is an apocalyptic number.

4194685440 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 4194685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8230910688).

4194685440 is an abundant number, since it is smaller than the sum of its proper divisors (12267135936).

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

4194685440 is an equidigital number, since it uses as much as digits as its factorization.

4194685440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4194685440 is about 64766.3912843691. The cubic root of 4194685440 is about 1612.7478299451.

The spelling of 4194685440 in words is "four billion, one hundred ninety-four million, six hundred eighty-five thousand, four hundred forty".