6194413440 has 480 divisors, whose sum is σ = 23417463960. Its totient is φ = 1560176640.

The previous prime is 6194413417. The next prime is 6194413453. The reversal of 6194413440 is 443144916.

It is a happy number.

6194413440 is a `hidden beast` number, since 619 + 4 + 4 + 1 + 34 + 4 + 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 6194413395 and 6194413404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 18714075 + ... + 18714405.

Almost surely, 2^6194413440 is an apocalyptic number.

6194413440 is a gapful number since it is divisible by the number (60) 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 6194413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11708731980).

6194413440 is an abundant number, since it is smaller than the sum of its proper divisors (17223050520).

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

6194413440 is a wasteful number, since it uses less digits than its factorization.

6194413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6194413440 is about 78704.5960538519. The cubic root of 6194413440 is about 1836.5386091190.

The spelling of 6194413440 in words is "six billion, one hundred ninety-four million, four hundred thirteen thousand, four hundred forty".