4198840607376 has 320 divisors, whose sum is σ = 12252482457600. Its totient is φ = 1376608794624.

The previous prime is 4198840607369. The next prime is 4198840607389. The reversal of 4198840607376 is 6737060488914.

4198840607376 is a `hidden beast` number, since 4 + 1 + 98 + 8 + 406 + 0 + 73 + 76 = 666.

It is a super-2 number, since 2×4198840607376² (a number of 26 digits) contains 22 as substring.

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, 4342130445 + ... + 4342131411.

It is an arithmetic number, because the mean of its divisors is an integer number (38289007680).

Almost surely, 2^{4198840607376} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4198840607376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6126241228800).

4198840607376 is an abundant number, since it is smaller than the sum of its proper divisors (8053641850224).

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

4198840607376 is a wasteful number, since it uses less digits than its factorization.

4198840607376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 4198840607376 in words is "four trillion, one hundred ninety-eight billion, eight hundred forty million, six hundred seven thousand, three hundred seventy-six".