470707020441000 has 192 divisors, whose sum is σ = 1818273976346880. Its totient is φ = 107590176086400.

The previous prime is 470707020440981. The next prime is 470707020441001. The reversal of 470707020441000 is 144020707074.

470707020441000 is a `hidden beast` number, since 470 + 70 + 70 + 2 + 0 + 44 + 10 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (470707020441001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3735707004 + ... + 3735833003.

It is an arithmetic number, because the mean of its divisors is an integer number (9470176960140).

Almost surely, 2^{470707020441000} is an apocalyptic number.

470707020441000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

470707020441000 is an abundant number, since it is smaller than the sum of its proper divisors (1347566955905880).

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

470707020441000 is a wasteful number, since it uses less digits than its factorization.

470707020441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7471540041 (or 7471540024 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 36.

The spelling of 470707020441000 in words is "four hundred seventy trillion, seven hundred seven billion, twenty million, four hundred forty-one thousand".