4012140412104 has 192 divisors, whose sum is σ = 11153652894720. Its totient is φ = 1201705190400.

The previous prime is 4012140412081. The next prime is 4012140412121.

4012140412104 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87059212 + ... + 87105284.

It is an arithmetic number, because the mean of its divisors is an integer number (58091942160).

Almost surely, 2^{4012140412104} is an apocalyptic number.

4012140412104 is a gapful number since it is divisible by the number (44) 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 4012140412104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5576826447360).

4012140412104 is an abundant number, since it is smaller than the sum of its proper divisors (7141512482616).

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

4012140412104 is a wasteful number, since it uses less digits than its factorization.

4012140412104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46452 (or 46437 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 4012140 and 412104, that added together give a palindrome (4424244).

The spelling of 4012140412104 in words is "four trillion, twelve billion, one hundred forty million, four hundred twelve thousand, one hundred four".