3401241404000 has 384 divisors, whose sum is σ = 9265526734464. Its totient is φ = 1216696320000.

The previous prime is 3401241403939. The next prime is 3401241404009. The reversal of 3401241404000 is 4041421043.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401241404009) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1480730852 + ... + 1480733148.

It is an arithmetic number, because the mean of its divisors is an integer number (24128975871).

Almost surely, 2^{3401241404000} 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 3401241404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4632763367232).

3401241404000 is an abundant number, since it is smaller than the sum of its proper divisors (5864285330464).

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

3401241404000 is a wasteful number, since it uses less digits than its factorization.

3401241404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 3401241404000 its reverse (4041421043), we get a palindrome (3405282825043).

The spelling of 3401241404000 in words is "three trillion, four hundred one billion, two hundred forty-one million, four hundred four thousand".