3302144142000 has 320 divisors, whose sum is σ = 11861057415168. Its totient is φ = 783486720000.

The previous prime is 3302144141983. The next prime is 3302144142019. The reversal of 3302144142000 is 2414412033.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2569740 + ... + 3634260.

Almost surely, 2^{3302144142000} is an apocalyptic number.

3302144142000 is a gapful number since it is divisible by the number (30) 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 3302144142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5930528707584).

3302144142000 is an abundant number, since it is smaller than the sum of its proper divisors (8558913273168).

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

3302144142000 is a wasteful number, since it uses less digits than its factorization.

3302144142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064605 (or 1064589 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 3302144142000 its reverse (2414412033), we get a palindrome (3304558554033).

The spelling of 3302144142000 in words is "three trillion, three hundred two billion, one hundred forty-four million, one hundred forty-two thousand".