4198035631104 has 440 divisors, whose sum is σ = 14337843498528. Its totient is φ = 1198534164480.

The previous prime is 4198035631091. The next prime is 4198035631109. The reversal of 4198035631104 is 4011365308914.

4198035631104 is a `hidden beast` number, since 4 + 1 + 9 + 8 + 0 + 3 + 5 + 631 + 1 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4198035631104.

It is not an unprimeable number, because it can be changed into a prime (4198035631109) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1319720394 + ... + 1319723574.

Almost surely, 2^{4198035631104} 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 4198035631104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7168921749264).

4198035631104 is an abundant number, since it is smaller than the sum of its proper divisors (10139807867424).

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

4198035631104 is a wasteful number, since it uses less digits than its factorization.

4198035631104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5493 (or 5466 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 4198035631104 in words is "four trillion, one hundred ninety-eight billion, thirty-five million, six hundred thirty-one thousand, one hundred four".