4263138134460 has 384 divisors, whose sum is σ = 13962187975680. Its totient is φ = 1078780032000.

The previous prime is 4263138134443. The next prime is 4263138134483. The reversal of 4263138134460 is 644318313624.

4263138134460 is a `hidden beast` number, since 4 + 2 + 63 + 138 + 13 + 446 + 0 = 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 127 ways as a sum of consecutive naturals, for example, 135188895 + ... + 135220425.

It is an arithmetic number, because the mean of its divisors is an integer number (36359864520).

Almost surely, 2^{4263138134460} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4263138134460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6981093987840).

4263138134460 is an abundant number, since it is smaller than the sum of its proper divisors (9699049841220).

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

4263138134460 is a wasteful number, since it uses less digits than its factorization.

4263138134460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31754 (or 31746 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 4263138134460 in words is "four trillion, two hundred sixty-three billion, one hundred thirty-eight million, one hundred thirty-four thousand, four hundred sixty".