470719130112000 has 3328 divisors, whose sum is σ = 2183968851517440. Its totient is φ = 97175863296000.

The previous prime is 470719130111981. The next prime is 470719130112043. The reversal of 470719130112000 is 211031917074.

470719130112000 is a `hidden beast` number, since 47 + 0 + 7 + 191 + 301 + 120 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 173505022644 + ... + 173505025356.

It is an arithmetic number, because the mean of its divisors is an integer number (656240640480).

Almost surely, 2^{470719130112000} is an apocalyptic number.

470719130112000 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 470719130112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091984425758720).

470719130112000 is an abundant number, since it is smaller than the sum of its proper divisors (1713249721405440).

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

470719130112000 is a wasteful number, since it uses less digits than its factorization.

470719130112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 470719130112000 in words is "four hundred seventy trillion, seven hundred nineteen billion, one hundred thirty million, one hundred twelve thousand".