478119026400 has 216 divisors, whose sum is σ = 1608107121432. Its totient is φ = 123384960000.

The previous prime is 478119026317. The next prime is 478119026423. The reversal of 478119026400 is 4620911874.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2202750 + ... + 2410050.

It is an arithmetic number, because the mean of its divisors is an integer number (7444940377).

Almost surely, 2^478119026400 is an apocalyptic number.

478119026400 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 478119026400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804053560716).

478119026400 is an abundant number, since it is smaller than the sum of its proper divisors (1129988095032).

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

478119026400 is a wasteful number, since it uses less digits than its factorization.

478119026400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207386 (or 207342 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 478119026400 in words is "four hundred seventy-eight billion, one hundred nineteen million, twenty-six thousand, four hundred".