3002144200432 has 80 divisors (see below), whose sum is σ = 6481062685440. Its totient is φ = 1337625225216.

The previous prime is 3002144200427. The next prime is 3002144200477. The reversal of 3002144200432 is 2340024412003.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3002144200397 and 3002144200406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44705793 + ... + 44772895.

It is an arithmetic number, because the mean of its divisors is an integer number (81013283568).

Almost surely, 2^{3002144200432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3002144200432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3240531342720).

3002144200432 is an abundant number, since it is smaller than the sum of its proper divisors (3478918485008).

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

3002144200432 is a wasteful number, since it uses less digits than its factorization.

3002144200432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74570 (or 74564 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 3002144200432 its reverse (2340024412003), we get a palindrome (5342168612435).

The spelling of 3002144200432 in words is "three trillion, two billion, one hundred forty-four million, two hundred thousand, four hundred thirty-two".