3014140342400 has 192 divisors, whose sum is σ = 8156493084960. Its totient is φ = 1091500032000.

The previous prime is 3014140342393. The next prime is 3014140342439. The reversal of 3014140342400 is 42430414103.

It is a self number, because there is not a number n which added to its sum of digits gives 3014140342400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8305547 + ... + 8660853.

Almost surely, 2^{3014140342400} 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 3014140342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4078246542480).

3014140342400 is an abundant number, since it is smaller than the sum of its proper divisors (5142352742560).

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

3014140342400 is a wasteful number, since it uses less digits than its factorization.

3014140342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355583 (or 355566 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 3014140342400 its reverse (42430414103), we get a palindrome (3056570756503).

The spelling of 3014140342400 in words is "three trillion, fourteen billion, one hundred forty million, three hundred forty-two thousand, four hundred".