4280381107200 has 2640 divisors, whose sum is σ = 18575336102400. Its totient is φ = 963477504000.

The previous prime is 4280381107193. The next prime is 4280381107207. The reversal of 4280381107200 is 27011830824.

It is an interprime number because it is at equal distance from previous prime (4280381107193) and next prime (4280381107207).

It is a tau number, because it is divible by the number of its divisors (2640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4280381107207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 21509452701 + ... + 21509452899.

It is an arithmetic number, because the mean of its divisors is an integer number (7036112160).

Almost surely, 2^{4280381107200} is an apocalyptic number.

4280381107200 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 4280381107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9287668051200).

4280381107200 is an abundant number, since it is smaller than the sum of its proper divisors (14294954995200).

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

4280381107200 is a wasteful number, since it uses less digits than its factorization.

4280381107200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 4280381107200 in words is "four trillion, two hundred eighty billion, three hundred eighty-one million, one hundred seven thousand, two hundred".