4260819225600 has 2376 divisors, whose sum is σ = 18570913403328. Its totient is φ = 929901772800.

The previous prime is 4260819225577. The next prime is 4260819225647. The reversal of 4260819225600 is 65229180624.

4260819225600 is a `hidden beast` number, since 4 + 2 + 6 + 0 + 8 + 19 + 2 + 25 + 600 = 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 215 ways as a sum of consecutive naturals, for example, 32525337535 + ... + 32525337665.

Almost surely, 2^{4260819225600} is an apocalyptic number.

4260819225600 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 4260819225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9285456701664).

4260819225600 is an abundant number, since it is smaller than the sum of its proper divisors (14310094177728).

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

4260819225600 is a wasteful number, since it uses less digits than its factorization.

4260819225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 4260819225600 in words is "four trillion, two hundred sixty billion, eight hundred nineteen million, two hundred twenty-five thousand, six hundred".