4945851187200 has 2280 divisors, whose sum is σ = 23032825489344. Its totient is φ = 1027709337600.

The previous prime is 4945851187171. The next prime is 4945851187213. The reversal of 4945851187200 is 27811585494.

4945851187200 is a `hidden beast` number, since 4 + 9 + 4 + 58 + 511 + 8 + 72 + 0 + 0 = 666.

It is a super-2 number, since 2×4945851187200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 26400 × 7392 × 25344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 449622835195 + ... + 449622835205.

Almost surely, 2^{4945851187200} is an apocalyptic number.

4945851187200 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 4945851187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11516412744672).

4945851187200 is an abundant number, since it is smaller than the sum of its proper divisors (18086974302144).

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

4945851187200 is an frugal number, since it uses more digits than its factorization.

4945851187200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 4945851187200 in words is "four trillion, nine hundred forty-five billion, eight hundred fifty-one million, one hundred eighty-seven thousand, two hundred".