4895104000 has 176 divisors, whose sum is σ = 12338988480. Its totient is φ = 1937817600.

The previous prime is 4895103911. The next prime is 4895104013. The reversal of 4895104000 is 4015984.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21375886 + ... + 21376114.

Almost surely, 2^4895104000 is an apocalyptic number.

4895104000 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 4895104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6169494240).

4895104000 is an abundant number, since it is smaller than the sum of its proper divisors (7443884480).

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

4895104000 is a wasteful number, since it uses less digits than its factorization.

4895104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 4895104000 is about 69965.0198313414. The cubic root of 4895104000 is about 1697.9333594823.

Adding to 4895104000 its reverse (4015984), we get a palindrome (4899119984).

The spelling of 4895104000 in words is "four billion, eight hundred ninety-five million, one hundred four thousand".