4101012112340 has 144 divisors (see below), whose sum is σ = 10175499827136. Its totient is φ = 1376270438400.

The previous prime is 4101012112237. The next prime is 4101012112343. The reversal of 4101012112340 is 432112101014.

It is a super-3 number, since 3×4101012112340³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4101012112343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241326884 + ... + 241343876.

It is an arithmetic number, because the mean of its divisors is an integer number (70663193244).

Almost surely, 2^{4101012112340} 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 4101012112340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5087749913568).

4101012112340 is an abundant number, since it is smaller than the sum of its proper divisors (6074487714796).

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

4101012112340 is a wasteful number, since it uses less digits than its factorization.

4101012112340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23530 (or 23515 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 4101012112340 its reverse (432112101014), we get a palindrome (4533124213354).

The spelling of 4101012112340 in words is "four trillion, one hundred one billion, twelve million, one hundred twelve thousand, three hundred forty".