478235197440 has 2016 divisors, whose sum is σ = 2310515819136. Its totient is φ = 91729428480.

The previous prime is 478235197421. The next prime is 478235197477. The reversal of 478235197440 is 44791532874.

478235197440 is a `hidden beast` number, since 4 + 7 + 8 + 2 + 3 + 5 + 197 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 36787322874 + ... + 36787322886.

It is an arithmetic number, because the mean of its divisors is an integer number (1146089196).

Almost surely, 2^478235197440 is an apocalyptic number.

478235197440 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 478235197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155257909568).

478235197440 is an abundant number, since it is smaller than the sum of its proper divisors (1832280621696).

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

478235197440 is an frugal number, since it uses more digits than its factorization.

478235197440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 478235197440 in words is "four hundred seventy-eight billion, two hundred thirty-five million, one hundred ninety-seven thousand, four hundred forty".