4098992688000 has 1280 divisors, whose sum is σ = 17755596144000. Its totient is φ = 936811008000.

The previous prime is 4098992687899. The next prime is 4098992688013. The reversal of 4098992688000 is 8862998904.

4098992688000 is a `hidden beast` number, since 409 + 8 + 9 + 92 + 68 + 80 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 444523390 + ... + 444532610.

Almost surely, 2^{4098992688000} is an apocalyptic number.

4098992688000 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 4098992688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8877798072000).

4098992688000 is an abundant number, since it is smaller than the sum of its proper divisors (13656603456000).

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

4098992688000 is an frugal number, since it uses more digits than its factorization.

4098992688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9283 (or 9238 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 4098992688000 in words is "four trillion, ninety-eight billion, nine hundred ninety-two million, six hundred eighty-eight thousand".