3403142033120 has 192 divisors, whose sum is σ = 8478829638720. Its totient is φ = 1288797339648.

The previous prime is 3403142033119. The next prime is 3403142033131. The reversal of 3403142033120 is 213302413043.

It is a self number, because there is not a number n which added to its sum of digits gives 3403142033120.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 689311292 + ... + 689316228.

It is an arithmetic number, because the mean of its divisors is an integer number (44160571035).

Almost surely, 2^{3403142033120} 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 3403142033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4239414819360).

3403142033120 is an abundant number, since it is smaller than the sum of its proper divisors (5075687605600).

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

3403142033120 is a wasteful number, since it uses less digits than its factorization.

3403142033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7837 (or 7829 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 3403142033120 its reverse (213302413043), we get a palindrome (3616444446163).

The spelling of 3403142033120 in words is "three trillion, four hundred three billion, one hundred forty-two million, thirty-three thousand, one hundred twenty".