480043147440 has 160 divisors (see below), whose sum is σ = 1529456394240. Its totient is φ = 124461868032.

The previous prime is 480043147411. The next prime is 480043147453. The reversal of 480043147440 is 44741340084.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12759537 + ... + 12797103.

It is an arithmetic number, because the mean of its divisors is an integer number (9559102464).

Almost surely, 2^480043147440 is an apocalyptic number.

480043147440 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 480043147440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764728197120).

480043147440 is an abundant number, since it is smaller than the sum of its proper divisors (1049413246800).

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

480043147440 is a wasteful number, since it uses less digits than its factorization.

480043147440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39059 (or 39053 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 39.

The spelling of 480043147440 in words is "four hundred eighty billion, forty-three million, one hundred forty-seven thousand, four hundred forty".