4265839982880 has 768 divisors, whose sum is σ = 17334980812800. Its totient is φ = 959578583040.

The previous prime is 4265839982879. The next prime is 4265839982909. The reversal of 4265839982880 is 882899385624.

4265839982880 is a `hidden beast` number, since 4 + 265 + 83 + 9 + 9 + 8 + 288 + 0 = 666.

It is a Cunningham number, because it is equal to 2065391²-1.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4265839982799 and 4265839982808.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1466426866 + ... + 1466429774.

It is an arithmetic number, because the mean of its divisors is an integer number (22571589600).

Almost surely, 2^{4265839982880} is an apocalyptic number.

4265839982880 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 4265839982880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8667490406400).

4265839982880 is an abundant number, since it is smaller than the sum of its proper divisors (13069140829920).

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

4265839982880 is a wasteful number, since it uses less digits than its factorization.

4265839982880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3694 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 4265839982880 in words is "four trillion, two hundred sixty-five billion, eight hundred thirty-nine million, nine hundred eighty-two thousand, eight hundred eighty".