3140424000000 has 2240 divisors, whose sum is σ = 13912621916160. Its totient is φ = 684288000000.

The previous prime is 3140423999989. The next prime is 3140424000013. The reversal of 3140424000000 is 4240413.

3140424000000 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 (2240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 46871999967 + ... + 46872000033.

Almost surely, 2^{3140424000000} is an apocalyptic number.

3140424000000 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 3140424000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6956310958080).

3140424000000 is an abundant number, since it is smaller than the sum of its proper divisors (10772197916160).

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

3140424000000 is an frugal number, since it uses more digits than its factorization.

3140424000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 3140424000000 its reverse (4240413), we get a palindrome (3140428240413).

The spelling of 3140424000000 in words is "three trillion, one hundred forty billion, four hundred twenty-four million", and thus it is an aban number.