4260816312480 has 576 divisors, whose sum is σ = 17903567904768. Its totient is φ = 898576588800.

The previous prime is 4260816312461. The next prime is 4260816312491. The reversal of 4260816312480 is 842136180624.

4260816312480 is a `hidden beast` number, since 4 + 2 + 6 + 0 + 8 + 1 + 631 + 2 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 352098430 + ... + 352110530.

It is an arithmetic number, because the mean of its divisors is an integer number (31082583168).

Almost surely, 2^{4260816312480} is an apocalyptic number.

4260816312480 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 4260816312480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8951783952384).

4260816312480 is an abundant number, since it is smaller than the sum of its proper divisors (13642751592288).

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

4260816312480 is a wasteful number, since it uses less digits than its factorization.

4260816312480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14829 (or 14818 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 4260816312480 in words is "four trillion, two hundred sixty billion, eight hundred sixteen million, three hundred twelve thousand, four hundred eighty".