4198387624704 has 1296 divisors, whose sum is σ = 15896980663200. Its totient is φ = 1095258931200.

The previous prime is 4198387624667. The next prime is 4198387624709. The reversal of 4198387624704 is 4074267838914.

4198387624704 is a `hidden beast` number, since 4 + 1 + 9 + 8 + 387 + 6 + 247 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4198387624709) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4002275572 + ... + 4002276620.

Almost surely, 2^{4198387624704} 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 4198387624704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7948490331600).

4198387624704 is an abundant number, since it is smaller than the sum of its proper divisors (11698593038496).

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

4198387624704 is a wasteful number, since it uses less digits than its factorization.

4198387624704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 4198387624704 in words is "four trillion, one hundred ninety-eight billion, three hundred eighty-seven million, six hundred twenty-four thousand, seven hundred four".