3440054131200 has 360 divisors, whose sum is σ = 12405035687616. Its totient is φ = 910341120000.

The previous prime is 3440054131139. The next prime is 3440054131243. The reversal of 3440054131200 is 21314500443.

It is a happy number.

3440054131200 is a `hidden beast` number, since 3 + 4 + 40 + 0 + 5 + 413 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14977225 + ... + 15205175.

Almost surely, 2^{3440054131200} is an apocalyptic number.

3440054131200 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 3440054131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6202517843808).

3440054131200 is an abundant number, since it is smaller than the sum of its proper divisors (8964981556416).

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

3440054131200 is a wasteful number, since it uses less digits than its factorization.

3440054131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228116 (or 228092 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 3440054131200 its reverse (21314500443), we get a palindrome (3461368631643).

The spelling of 3440054131200 in words is "three trillion, four hundred forty billion, fifty-four million, one hundred thirty-one thousand, two hundred".