471438549120 has 1536 divisors, whose sum is σ = 2044682403840. Its totient is φ = 91039334400.

The previous prime is 471438549079. The next prime is 471438549139. The reversal of 471438549120 is 21945834174.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 471438549120.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2234305815 + ... + 2234306025.

It is an arithmetic number, because the mean of its divisors is an integer number (1331173440).

Almost surely, 2^471438549120 is an apocalyptic number.

471438549120 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 471438549120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022341201920).

471438549120 is an abundant number, since it is smaller than the sum of its proper divisors (1573243854720).

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

471438549120 is a wasteful number, since it uses less digits than its factorization.

471438549120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 471438549120 in words is "four hundred seventy-one billion, four hundred thirty-eight million, five hundred forty-nine thousand, one hundred twenty".