4142908086912 has 1536 divisors, whose sum is σ = 15518635776000. Its totient is φ = 1062651985920.

The previous prime is 4142908086901. The next prime is 4142908086923. The reversal of 4142908086912 is 2196808092414.

It is a happy number.

4142908086912 is a `hidden beast` number, since 414 + 2 + 90 + 80 + 8 + 69 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4142908086901) and next prime (4142908086923).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36662903368 + ... + 36662903480.

It is an arithmetic number, because the mean of its divisors is an integer number (10103278500).

Almost surely, 2^{4142908086912} is an apocalyptic number.

4142908086912 is a gapful number since it is divisible by the number (42) 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 4142908086912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7759317888000).

4142908086912 is an abundant number, since it is smaller than the sum of its proper divisors (11375727689088).

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

4142908086912 is a wasteful number, since it uses less digits than its factorization.

4142908086912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 4142908086912 in words is "four trillion, one hundred forty-two billion, nine hundred eight million, eighty-six thousand, nine hundred twelve".