4134990643200 has 864 divisors, whose sum is σ = 15406416738720. Its totient is φ = 1100753141760.

The previous prime is 4134990643159. The next prime is 4134990643211. The reversal of 4134990643200 is 23460994314.

4134990643200 is a `hidden beast` number, since 41 + 349 + 9 + 0 + 64 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7166361312 + ... + 7166361888.

It is an arithmetic number, because the mean of its divisors is an integer number (17831500855).

Almost surely, 2^{4134990643200} is an apocalyptic number.

4134990643200 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 4134990643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7703208369360).

4134990643200 is an abundant number, since it is smaller than the sum of its proper divisors (11271426095520).

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

4134990643200 is an frugal number, since it uses more digits than its factorization.

4134990643200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 4134990643200 in words is "four trillion, one hundred thirty-four billion, nine hundred ninety million, six hundred forty-three thousand, two hundred".