478733642150400 has 7200 divisors, whose sum is σ = 2361035397188160. Its totient is φ = 95081852436480.

The previous prime is 478733642150363. The next prime is 478733642150471. The reversal of 478733642150400 is 4051246337874.

478733642150400 is a `hidden beast` number, since 4 + 7 + 8 + 73 + 3 + 64 + 2 + 1 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7200).

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 719 ways as a sum of consecutive naturals, for example, 3049258867122 + ... + 3049258867278.

Almost surely, 2^{478733642150400} is an apocalyptic number.

478733642150400 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 478733642150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180517698594080).

478733642150400 is an abundant number, since it is smaller than the sum of its proper divisors (1882301755037760).

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

478733642150400 is an equidigital number, since it uses as much as digits as its factorization.

478733642150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 478733642150400 in words is "four hundred seventy-eight trillion, seven hundred thirty-three billion, six hundred forty-two million, one hundred fifty thousand, four hundred".