471926427084000 has 2304 divisors, whose sum is σ = 2051335413743616. Its totient is φ = 100408315392000.

The previous prime is 471926427083987. The next prime is 471926427084059. The reversal of 471926427084000 is 480724629174.

471926427084000 is a `hidden beast` number, since 4 + 7 + 192 + 6 + 42 + 7 + 0 + 8 + 400 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 70531520655 + ... + 70531527345.

It is an arithmetic number, because the mean of its divisors is an integer number (890336551104).

Almost surely, 2^{471926427084000} is an apocalyptic number.

471926427084000 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 471926427084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025667706871808).

471926427084000 is an abundant number, since it is smaller than the sum of its proper divisors (1579408986659616).

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

471926427084000 is a wasteful number, since it uses less digits than its factorization.

471926427084000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7078 (or 7057 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 471926427084000 in words is "four hundred seventy-one trillion, nine hundred twenty-six billion, four hundred twenty-seven million, eighty-four thousand".