314143003201040 has 160 divisors (see below), whose sum is σ = 813711255084000. Its totient is φ = 111988460666880.

The previous prime is 314143003201037. The next prime is 314143003201091. The reversal of 314143003201040 is 40102300341413.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 101953205507344 + 212189797693696 = 10097188^2 + 14566736^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1275071786 + ... + 1275318134.

It is an arithmetic number, because the mean of its divisors is an integer number (5085695344275).

Almost surely, 2^{314143003201040} 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 314143003201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406855627542000).

314143003201040 is an abundant number, since it is smaller than the sum of its proper divisors (499568251882960).

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

314143003201040 is a wasteful number, since it uses less digits than its factorization.

314143003201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288685 (or 288679 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 314143003201040 its reverse (40102300341413), we get a palindrome (354245303542453).

The spelling of 314143003201040 in words is "three hundred fourteen trillion, one hundred forty-three billion, three million, two hundred one thousand, forty".