3401032041330 has 512 divisors, whose sum is σ = 10590289920000. Its totient is φ = 692758644480.

The previous prime is 3401032041317. The next prime is 3401032041343. The reversal of 3401032041330 is 331402301043.

It is an interprime number because it is at equal distance from previous prime (3401032041317) and next prime (3401032041343).

It is a self number, because there is not a number n which added to its sum of digits gives 3401032041330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4053673051 + ... + 4053673889.

It is an arithmetic number, because the mean of its divisors is an integer number (20684160000).

Almost surely, 2^{3401032041330} is an apocalyptic number.

3401032041330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3401032041330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5295144960000).

3401032041330 is an abundant number, since it is smaller than the sum of its proper divisors (7189257878670).

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

3401032041330 is a wasteful number, since it uses less digits than its factorization.

3401032041330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 3401032041330 its reverse (331402301043), we get a palindrome (3732434342373).

The spelling of 3401032041330 in words is "three trillion, four hundred one billion, thirty-two million, forty-one thousand, three hundred thirty".