4198680474240 has 512 divisors, whose sum is σ = 15520291799040. Its totient is φ = 945601413120.

The previous prime is 4198680474227. The next prime is 4198680474299. The reversal of 4198680474240 is 424740868914.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1537413675 + ... + 1537416405.

It is an arithmetic number, because the mean of its divisors is an integer number (30313069920).

Almost surely, 2^{4198680474240} is an apocalyptic number.

4198680474240 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 4198680474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7760145899520).

4198680474240 is an abundant number, since it is smaller than the sum of its proper divisors (11321611324800).

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

4198680474240 is a wasteful number, since it uses less digits than its factorization.

4198680474240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4400 (or 4388 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 57.

The spelling of 4198680474240 in words is "four trillion, one hundred ninety-eight billion, six hundred eighty million, four hundred seventy-four thousand, two hundred forty".