4098665894400 has 2880 divisors, whose sum is σ = 19548278830080. Its totient is φ = 794404454400.

The previous prime is 4098665894353. The next prime is 4098665894417. The reversal of 4098665894400 is 44985668904.

4098665894400 is a `hidden beast` number, since 4 + 0 + 9 + 8 + 6 + 6 + 589 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×4098665894400² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13988620654 + ... + 13988620946.

It is an arithmetic number, because the mean of its divisors is an integer number (6787596816).

Almost surely, 2^{4098665894400} is an apocalyptic number.

4098665894400 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 4098665894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9774139415040).

4098665894400 is an abundant number, since it is smaller than the sum of its proper divisors (15449612935680).

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

4098665894400 is a wasteful number, since it uses less digits than its factorization.

4098665894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

It can be divided in two parts, 40986 and 65894400, that added together give a triangular number (65935386 = T₁₁₄₈₃).

The spelling of 4098665894400 in words is "four trillion, ninety-eight billion, six hundred sixty-five million, eight hundred ninety-four thousand, four hundred".