4098480768000 has 2112 divisors, whose sum is σ = 16972439597568. Its totient is φ = 980995276800.

The previous prime is 4098480767993. The next prime is 4098480768007. The reversal of 4098480768000 is 8670848904.

4098480768000 is a `hidden beast` number, since 4 + 0 + 98 + 480 + 76 + 8 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4098480767993) and next prime (4098480768007).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4098480768007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12161663832 + ... + 12161664168.

Almost surely, 2^{4098480768000} is an apocalyptic number.

4098480768000 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 4098480768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8486219798784).

4098480768000 is an abundant number, since it is smaller than the sum of its proper divisors (12873958829568).

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

4098480768000 is a wasteful number, since it uses less digits than its factorization.

4098480768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 4098480768000 in words is "four trillion, ninety-eight billion, four hundred eighty million, seven hundred sixty-eight thousand".