3143225917440 has 1680 divisors, whose sum is σ = 13230100386048. Its totient is φ = 701730127872.

The previous prime is 3143225917427. The next prime is 3143225917441. The reversal of 3143225917440 is 447195223413.

3143225917440 is a `hidden beast` number, since 3 + 1 + 432 + 2 + 5 + 9 + 174 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3143225917441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 30516756429 + ... + 30516756531.

Almost surely, 2^{3143225917440} is an apocalyptic number.

3143225917440 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 3143225917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6615050193024).

3143225917440 is an abundant number, since it is smaller than the sum of its proper divisors (10086874468608).

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

3143225917440 is an frugal number, since it uses more digits than its factorization.

3143225917440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 3143225917440 in words is "three trillion, one hundred forty-three billion, two hundred twenty-five million, nine hundred seventeen thousand, four hundred forty".