4136610261000 has 256 divisors, whose sum is σ = 14755882752000. Its totient is φ = 945131923200.

The previous prime is 4136610260929. The next prime is 4136610261011. The reversal of 4136610261000 is 1620166314.

It is a super-2 number, since 2×4136610261000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54120811 + ... + 54197189.

It is an arithmetic number, because the mean of its divisors is an integer number (57640167000).

Almost surely, 2^{4136610261000} is an apocalyptic number.

4136610261000 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 4136610261000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7377941376000).

4136610261000 is an abundant number, since it is smaller than the sum of its proper divisors (10619272491000).

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

4136610261000 is a wasteful number, since it uses less digits than its factorization.

4136610261000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78989 (or 78975 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 4136610261000 in words is "four trillion, one hundred thirty-six billion, six hundred ten million, two hundred sixty-one thousand".