4198568774400 has 6048 divisors, whose sum is σ = 22339490181120. Its totient is φ = 752467968000.

The previous prime is 4198568774399. The next prime is 4198568774401. The reversal of 4198568774400 is 44778658914.

4198568774400 is a `hidden beast` number, since 4 + 1 + 9 + 85 + 6 + 87 + 74 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (4198568774399) and next prime (4198568774401).

It is a tau number, because it is divible by the number of its divisors (6048).

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

It is not an unprimeable number, because it can be changed into a prime (4198568774401) by changing a digit.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 135437702385 + ... + 135437702415.

Almost surely, 2^{4198568774400} is an apocalyptic number.

4198568774400 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 4198568774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11169745090560).

4198568774400 is an abundant number, since it is smaller than the sum of its proper divisors (18140921406720).

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

4198568774400 is a wasteful number, since it uses less digits than its factorization.

4198568774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 4198568774400 in words is "four trillion, one hundred ninety-eight billion, five hundred sixty-eight million, seven hundred seventy-four thousand, four hundred".