4260820112640 has 1440 divisors, whose sum is σ = 18993865879296. Its totient is φ = 887991828480.

The previous prime is 4260820112639. The next prime is 4260820112663. The reversal of 4260820112640 is 462110280624.

4260820112640 is a `hidden beast` number, since 4 + 2 + 6 + 0 + 8 + 2 + 0 + 1 + 1 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 4260820112595 and 4260820112604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 783092320 + ... + 783097760.

Almost surely, 2^{4260820112640} is an apocalyptic number.

4260820112640 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 4260820112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9496932939648).

4260820112640 is an abundant number, since it is smaller than the sum of its proper divisors (14733045766656).

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

4260820112640 is a wasteful number, since it uses less digits than its factorization.

4260820112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5577 (or 5554 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 4260820112640 in words is "four trillion, two hundred sixty billion, eight hundred twenty million, one hundred twelve thousand, six hundred forty".