4895108400 has 480 divisors, whose sum is σ = 20148710400. Its totient is φ = 987402240.

The previous prime is 4895108371. The next prime is 4895108411. The reversal of 4895108400 is 48015984.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 2510626 + ... + 2512574.

It is an arithmetic number, because the mean of its divisors is an integer number (41976480).

Almost surely, 2^4895108400 is an apocalyptic number.

4895108400 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 4895108400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10074355200).

4895108400 is an abundant number, since it is smaller than the sum of its proper divisors (15253602000).

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

4895108400 is a wasteful number, since it uses less digits than its factorization.

4895108400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 4895108400 is about 69965.0512756190. The cubic root of 4895108400 is about 1697.9338682154.

The spelling of 4895108400 in words is "four billion, eight hundred ninety-five million, one hundred eight thousand, four hundred".