4894052140800 has 540 divisors, whose sum is σ = 18110171291520. Its totient is φ = 1304025661440.

The previous prime is 4894052140777. The next prime is 4894052140807. The reversal of 4894052140800 is 80412504984.

4894052140800 is a `hidden beast` number, since 4 + 8 + 9 + 4 + 0 + 521 + 40 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4894052140807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 805072161 + ... + 805078239.

Almost surely, 2^{4894052140800} is an apocalyptic number.

4894052140800 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 4894052140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9055085645760).

4894052140800 is an abundant number, since it is smaller than the sum of its proper divisors (13216119150720).

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

4894052140800 is a wasteful number, since it uses less digits than its factorization.

4894052140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7670 (or 7642 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 4894052140800 in words is "four trillion, eight hundred ninety-four billion, fifty-two million, one hundred forty thousand, eight hundred".