4194946560 has 160 divisors (see below), whose sum is σ = 15326733312. Its totient is φ = 958832640.

The previous prime is 4194946543. The next prime is 4194946579. The reversal of 4194946560 is 656494914.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14745 + ... + 92775.

Almost surely, 2^4194946560 is an apocalyptic number.

4194946560 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 4194946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7663366656).

4194946560 is an abundant number, since it is smaller than the sum of its proper divisors (11131786752).

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

4194946560 is an equidigital number, since it uses as much as digits as its factorization.

4194946560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78064 (or 78048 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 4194946560 is about 64768.4071133450. The cubic root of 4194946560 is about 1612.7812938747.

The spelling of 4194946560 in words is "four billion, one hundred ninety-four million, nine hundred forty-six thousand, five hundred sixty".