314145464061440 has 240 divisors, whose sum is σ = 829191774017376. Its totient is φ = 114058080829440.

The previous prime is 314145464061409. The next prime is 314145464061449. The reversal of 314145464061440 is 44160464541413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314145464061449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199630982 + ... + 201198458.

Almost surely, 2^{314145464061440} 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 314145464061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414595887008688).

314145464061440 is an abundant number, since it is smaller than the sum of its proper divisors (515046309955936).

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

314145464061440 is a wasteful number, since it uses less digits than its factorization.

314145464061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568169 (or 1568142 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 47.

The spelling of 314145464061440 in words is "three hundred fourteen trillion, one hundred forty-five billion, four hundred sixty-four million, sixty-one thousand, four hundred forty".