4136681263104 has 416 divisors, whose sum is σ = 13253929180800. Its totient is φ = 1267437404160.

The previous prime is 4136681263097. The next prime is 4136681263111. The reversal of 4136681263104 is 4013621866314.

4136681263104 is a `hidden beast` number, since 4 + 1 + 3 + 6 + 6 + 8 + 1 + 2 + 631 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4136681263097) and next prime (4136681263111).

It is a tau number, because it is divible by the number of its divisors (416).

It is a super-2 number, since 2×4136681263104² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4136681263104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346478767 + ... + 346490705.

Almost surely, 2^{4136681263104} 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 4136681263104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6626964590400).

4136681263104 is an abundant number, since it is smaller than the sum of its proper divisors (9117247917696).

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

4136681263104 is a wasteful number, since it uses less digits than its factorization.

4136681263104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12226 (or 12198 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 4136681263104 in words is "four trillion, one hundred thirty-six billion, six hundred eighty-one million, two hundred sixty-three thousand, one hundred four".