4101142213040 has 160 divisors (see below), whose sum is σ = 10060118016000. Its totient is φ = 1550543606784.

The previous prime is 4101142213033. The next prime is 4101142213061. The reversal of 4101142213040 is 403122411014.

It is a junction number, because it is equal to n+sod(n) for n = 4101142212997 and 4101142213015.

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, 1716676166 + ... + 1716678554.

It is an arithmetic number, because the mean of its divisors is an integer number (62875737600).

Almost surely, 2^{4101142213040} is an apocalyptic number.

4101142213040 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 4101142213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5030059008000).

4101142213040 is an abundant number, since it is smaller than the sum of its proper divisors (5958975802960).

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

4101142213040 is a wasteful number, since it uses less digits than its factorization.

4101142213040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4547 (or 4541 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 4101142213040 its reverse (403122411014), we get a palindrome (4504264624054).

The spelling of 4101142213040 in words is "four trillion, one hundred one billion, one hundred forty-two million, two hundred thirteen thousand, forty".