4194618134400 has 1152 divisors, whose sum is σ = 16836410496000. Its totient is φ = 1018618675200.

The previous prime is 4194618134359. The next prime is 4194618134423. The reversal of 4194618134400 is 44318164914.

4194618134400 is a `hidden beast` number, since 4 + 19 + 4 + 618 + 13 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 774054891 + ... + 774060309.

Almost surely, 2^{4194618134400} is an apocalyptic number.

4194618134400 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 4194618134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8418205248000).

4194618134400 is an abundant number, since it is smaller than the sum of its proper divisors (12641792361600).

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

4194618134400 is a wasteful number, since it uses less digits than its factorization.

4194618134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5517 (or 5477 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 4194618134400 in words is "four trillion, one hundred ninety-four billion, six hundred eighteen million, one hundred thirty-four thousand, four hundred".