314374011840 has 840 divisors, whose sum is σ = 1311776294400. Its totient is φ = 71254536192.

The previous prime is 314374011823. The next prime is 314374011893. The reversal of 314374011840 is 48110473413.

314374011840 is a `hidden beast` number, since 3 + 1 + 437 + 40 + 1 + 184 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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 = 314374011795 and 314374011804.

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 119 ways as a sum of consecutive naturals, for example, 161299186 + ... + 161301134.

Almost surely, 2^314374011840 is an apocalyptic number.

314374011840 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 314374011840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655888147200).

314374011840 is an abundant number, since it is smaller than the sum of its proper divisors (997402282560).

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

314374011840 is a wasteful number, since it uses less digits than its factorization.

314374011840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 314374011840 in words is "three hundred fourteen billion, three hundred seventy-four million, eleven thousand, eight hundred forty".