4097286020000 has 480 divisors, whose sum is σ = 10596043180800. Its totient is φ = 1557563904000.

The previous prime is 4097286019973. The next prime is 4097286020011. The reversal of 4097286020000 is 206827904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6372139679 + ... + 6372140321.

It is an arithmetic number, because the mean of its divisors is an integer number (22075089960).

Almost surely, 2^{4097286020000} is an apocalyptic number.

4097286020000 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 4097286020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5298021590400).

4097286020000 is an abundant number, since it is smaller than the sum of its proper divisors (6498757160800).

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

4097286020000 is a wasteful number, since it uses less digits than its factorization.

4097286020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 4097286020000 in words is "four trillion, ninety-seven billion, two hundred eighty-six million, twenty thousand".