4278442291200 has 4212 divisors, whose sum is σ = 21020728102920. Its totient is φ = 858370867200.

The previous prime is 4278442291187. The next prime is 4278442291247. The reversal of 4278442291200 is 21922448724.

4278442291200 is a `hidden beast` number, since 4 + 27 + 84 + 422 + 9 + 120 + 0 = 666.

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 polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 147532492786 + ... + 147532492814.

Almost surely, 2^{4278442291200} is an apocalyptic number.

4278442291200 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 4278442291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10510364051460).

4278442291200 is an abundant number, since it is smaller than the sum of its proper divisors (16742285811720).

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

4278442291200 is a wasteful number, since it uses less digits than its factorization.

4278442291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 4278442291200 in words is "four trillion, two hundred seventy-eight billion, four hundred forty-two million, two hundred ninety-one thousand, two hundred".