4136279384952 has 384 divisors, whose sum is σ = 14451188693760. Its totient is φ = 1088941086720.

The previous prime is 4136279384947. The next prime is 4136279384977. The reversal of 4136279384952 is 2594839726314.

4136279384952 is a `hidden beast` number, since 4 + 1 + 36 + 27 + 93 + 8 + 495 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4136279384952.

It is a congruent number.

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, 4288243 + ... + 5163485.

It is an arithmetic number, because the mean of its divisors is an integer number (37633303890).

Almost surely, 2^{4136279384952} 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 4136279384952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7225594346880).

4136279384952 is an abundant number, since it is smaller than the sum of its proper divisors (10314909308808).

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

4136279384952 is a wasteful number, since it uses less digits than its factorization.

4136279384952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875305 (or 875289 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 4136279384952 in words is "four trillion, one hundred thirty-six billion, two hundred seventy-nine million, three hundred eighty-four thousand, nine hundred fifty-two".