4294194585408 has 672 divisors, whose sum is σ = 16010430280320. Its totient is φ = 1132511321088.

The previous prime is 4294194585397. The next prime is 4294194585413. The reversal of 4294194585408 is 8045854914924.

It is a happy number.

4294194585408 is a `hidden beast` number, since 4 + 2 + 9 + 4 + 1 + 9 + 4 + 585 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89135535 + ... + 89183697.

It is an arithmetic number, because the mean of its divisors is an integer number (23825045060).

Almost surely, 2^{4294194585408} is an apocalyptic number.

4294194585408 is a gapful number since it is divisible by the number (48) 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 4294194585408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8005215140160).

4294194585408 is an abundant number, since it is smaller than the sum of its proper divisors (11716235694912).

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

4294194585408 is an equidigital number, since it uses as much as digits as its factorization.

4294194585408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48223 (or 48188 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 4294194585408 in words is "four trillion, two hundred ninety-four billion, one hundred ninety-four million, five hundred eighty-five thousand, four hundred eight".