3401124144000 has 384 divisors, whose sum is σ = 12392902398240. Its totient is φ = 824513536000.

The previous prime is 3401124143999. The next prime is 3401124144053. The reversal of 3401124144000 is 4414211043.

3401124144000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×3401124144000³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5515204 + ... + 6100796.

Almost surely, 2^{3401124144000} is an apocalyptic number.

3401124144000 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 3401124144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6196451199120).

3401124144000 is an abundant number, since it is smaller than the sum of its proper divisors (8991778254240).

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

3401124144000 is a wasteful number, since it uses less digits than its factorization.

3401124144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585647 (or 585614 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 3401124144000 its reverse (4414211043), we get a palindrome (3405538355043).

The spelling of 3401124144000 in words is "three trillion, four hundred one billion, one hundred twenty-four million, one hundred forty-four thousand".