3401202152144 has 80 divisors (see below), whose sum is σ = 7088198647680. Its totient is φ = 1575244124160.

The previous prime is 3401202152141. The next prime is 3401202152147. The reversal of 3401202152144 is 4412512021043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3401202152141) and next prime (3401202152147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401202152141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10833767 + ... + 11143289.

It is an arithmetic number, because the mean of its divisors is an integer number (88602483096).

Almost surely, 2^{3401202152144} is an apocalyptic number.

3401202152144 is a gapful number since it is divisible by the number (34) 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 3401202152144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3544099323840).

3401202152144 is an abundant number, since it is smaller than the sum of its proper divisors (3686996495536).

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

3401202152144 is a wasteful number, since it uses less digits than its factorization.

3401202152144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310188 (or 310182 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 3401202152144 its reverse (4412512021043), we get a palindrome (7813714173187).

The spelling of 3401202152144 in words is "three trillion, four hundred one billion, two hundred two million, one hundred fifty-two thousand, one hundred forty-four".