476334343135420 has 288 divisors, whose sum is σ = 1355965177210560. Its totient is φ = 138497850408960.

The previous prime is 476334343135373. The next prime is 476334343135549. The reversal of 476334343135420 is 24531343433674.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 9207376 + ... + 32209384.

It is an arithmetic number, because the mean of its divisors is an integer number (4708212420870).

Almost surely, 2^{476334343135420} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476334343135420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677982588605280).

476334343135420 is an abundant number, since it is smaller than the sum of its proper divisors (879630834075140).

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

476334343135420 is a wasteful number, since it uses less digits than its factorization.

476334343135420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23002173 (or 23002164 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 52.

The spelling of 476334343135420 in words is "four hundred seventy-six trillion, three hundred thirty-four billion, three hundred forty-three million, one hundred thirty-five thousand, four hundred twenty".