3142002422400 has 192 divisors, whose sum is σ = 10356617491200. Its totient is φ = 837248204800.

The previous prime is 3142002422399. The next prime is 3142002422441. The reversal of 3142002422400 is 42242002413.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 12945361 + ... + 13185839.

It is an arithmetic number, because the mean of its divisors is an integer number (53940716100).

Almost surely, 2^{3142002422400} is an apocalyptic number.

3142002422400 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 3142002422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5178308745600).

3142002422400 is an abundant number, since it is smaller than the sum of its proper divisors (7214615068800).

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

3142002422400 is a wasteful number, since it uses less digits than its factorization.

3142002422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241867 (or 241850 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 3142002422400 its reverse (42242002413), we get a palindrome (3184244424813).

The spelling of 3142002422400 in words is "three trillion, one hundred forty-two billion, two million, four hundred twenty-two thousand, four hundred".