4098712800 has 576 divisors, whose sum is σ = 16798924800. Its totient is φ = 862525440.

The previous prime is 4098712799. The next prime is 4098712811. The reversal of 4098712800 is 82178904.

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

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, 10701409 + ... + 10701791.

It is an arithmetic number, because the mean of its divisors is an integer number (29164800).

Almost surely, 2^4098712800 is an apocalyptic number.

4098712800 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 4098712800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8399462400).

4098712800 is an abundant number, since it is smaller than the sum of its proper divisors (12700212000).

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

4098712800 is a wasteful number, since it uses less digits than its factorization.

4098712800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 4098712800 is about 64021.1902419816. The cubic root of 4098712800 is about 1600.3531512136.

The spelling of 4098712800 in words is "four billion, ninety-eight million, seven hundred twelve thousand, eight hundred".