478325973815040 has 576 divisors, whose sum is σ = 1743047902310400. Its totient is φ = 110745299976192.

The previous prime is 478325973815003. The next prime is 478325973815069. The reversal of 478325973815040 is 40518379523874.

It is a super-2 number, since 2×478325973815040² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1339824081 + ... + 1340181039.

It is an arithmetic number, because the mean of its divisors is an integer number (3026124830400).

Almost surely, 2^{478325973815040} is an apocalyptic number.

478325973815040 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 478325973815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871523951155200).

478325973815040 is an abundant number, since it is smaller than the sum of its proper divisors (1264721928495360).

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

478325973815040 is a wasteful number, since it uses less digits than its factorization.

478325973815040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358592 (or 358578 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 66.

The spelling of 478325973815040 in words is "four hundred seventy-eight trillion, three hundred twenty-five billion, nine hundred seventy-three million, eight hundred fifteen thousand, forty".