314941271040 has 1760 divisors, whose sum is σ = 1355913934848. Its totient is φ = 69009408000.

The previous prime is 314941271017. The next prime is 314941271059. The reversal of 314941271040 is 40172149413.

314941271040 is a `hidden beast` number, since 3 + 1 + 494 + 127 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 314941270986 and 314941271004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2404131775 + ... + 2404131905.

Almost surely, 2^314941271040 is an apocalyptic number.

314941271040 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 314941271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677956967424).

314941271040 is an abundant number, since it is smaller than the sum of its proper divisors (1040972663808).

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

314941271040 is a wasteful number, since it uses less digits than its factorization.

314941271040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 314941271040 in words is "three hundred fourteen billion, nine hundred forty-one million, two hundred seventy-one thousand, forty".