3810681271144 has 128 divisors (see below), whose sum is σ = 8388233251200. Its totient is φ = 1603727319040.

The previous prime is 3810681271141. The next prime is 3810681271181. The reversal of 3810681271144 is 4411721860183.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3810681271094 and 3810681271103.

It is not an unprimeable number, because it can be changed into a prime (3810681271141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26156727 + ... + 26302009.

It is an arithmetic number, because the mean of its divisors is an integer number (65533072275).

Almost surely, 2^{3810681271144} is an apocalyptic number.

3810681271144 is a gapful number since it is divisible by the number (34) 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 3810681271144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4194116625600).

3810681271144 is an abundant number, since it is smaller than the sum of its proper divisors (4577551980056).

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

3810681271144 is a wasteful number, since it uses less digits than its factorization.

3810681271144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145603 (or 145599 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 46.

The spelling of 3810681271144 in words is "three trillion, eight hundred ten billion, six hundred eighty-one million, two hundred seventy-one thousand, one hundred forty-four".