4136108021760 has 1536 divisors, whose sum is σ = 16048730880000. Its totient is φ = 896217907200.

The previous prime is 4136108021753. The next prime is 4136108021761. The reversal of 4136108021760 is 671208016314.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4136108021761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27759114166 + ... + 27759114314.

It is an arithmetic number, because the mean of its divisors is an integer number (10448392500).

Almost surely, 2^{4136108021760} is an apocalyptic number.

4136108021760 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 4136108021760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8024365440000).

4136108021760 is an abundant number, since it is smaller than the sum of its proper divisors (11912622858240).

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

4136108021760 is a wasteful number, since it uses less digits than its factorization.

4136108021760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 4136108021760 in words is "four trillion, one hundred thirty-six billion, one hundred eight million, twenty-one thousand, seven hundred sixty".