314387840471040 has 3120 divisors, whose sum is σ = 1338471335492928. Its totient is φ = 70770336989184.

The previous prime is 314387840471021. The next prime is 314387840471063. The reversal of 314387840471040 is 40174048783413.

It is a happy number.

314387840471040 is a `hidden beast` number, since 3 + 14 + 3 + 87 + 8 + 40 + 471 + 0 + 40 = 666.

It is a super-3 number, since 3×314387840471040³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 239 ways as a sum of consecutive naturals, for example, 991759748962 + ... + 991759749278.

Almost surely, 2^{314387840471040} is an apocalyptic number.

314387840471040 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 314387840471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669235667746464).

314387840471040 is an abundant number, since it is smaller than the sum of its proper divisors (1024083495021888).

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

314387840471040 is an frugal number, since it uses more digits than its factorization.

314387840471040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 314387840471040 in words is "three hundred fourteen trillion, three hundred eighty-seven billion, eight hundred forty million, four hundred seventy-one thousand, forty".