4630071214080 has 1472 divisors, whose sum is σ = 19279032151680. Its totient is φ = 1043677052928.

The previous prime is 4630071214057. The next prime is 4630071214123. The reversal of 4630071214080 is 804121700364.

4630071214080 is a `hidden beast` number, since 4 + 630 + 0 + 7 + 1 + 2 + 14 + 0 + 8 + 0 = 666.

It is a super-3 number, since 3×4630071214080³ (a number of 39 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125137059822 + ... + 125137059858.

Almost surely, 2^{4630071214080} is an apocalyptic number.

4630071214080 is a gapful number since it is divisible by the number (40) 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 4630071214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9639516075840).

4630071214080 is an abundant number, since it is smaller than the sum of its proper divisors (14648960937600).

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

4630071214080 is an frugal number, since it uses more digits than its factorization.

4630071214080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 77 counting only the distinct ones).

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

The spelling of 4630071214080 in words is "four trillion, six hundred thirty billion, seventy-one million, two hundred fourteen thousand, eighty".