478655129440 has 96 divisors (see below), whose sum is σ = 1161770317344. Its totient is φ = 186225684480.

The previous prime is 478655129419. The next prime is 478655129507. The reversal of 478655129440 is 44921556874.

It is a super-2 number, since 2×478655129440² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20512980 + ... + 20536300.

It is an arithmetic number, because the mean of its divisors is an integer number (12101774139).

Almost surely, 2^478655129440 is an apocalyptic number.

478655129440 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 478655129440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580885158672).

478655129440 is an abundant number, since it is smaller than the sum of its proper divisors (683115187904).

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

478655129440 is a wasteful number, since it uses less digits than its factorization.

478655129440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26840 (or 26832 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 55.

The spelling of 478655129440 in words is "four hundred seventy-eight billion, six hundred fifty-five million, one hundred twenty-nine thousand, four hundred forty".