4194455040 has 240 divisors, whose sum is σ = 14598471888. Its totient is φ = 1112997888.

The previous prime is 4194455017. The next prime is 4194455047. The reversal of 4194455040 is 405544914.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4194454986 and 4194455004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4194455047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7072984 + ... + 7073576.

Almost surely, 2^4194455040 is an apocalyptic number.

4194455040 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 4194455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7299235944).

4194455040 is an abundant number, since it is smaller than the sum of its proper divisors (10404016848).

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

4194455040 is a wasteful number, since it uses less digits than its factorization.

4194455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 4194455040 is about 64764.6125596378. The cubic root of 4194455040 is about 1612.7183017950.

Adding to 4194455040 its reverse (405544914), we get a palindrome (4599999954).

The spelling of 4194455040 in words is "four billion, one hundred ninety-four million, four hundred fifty-five thousand, forty".