480851070614740 has 192 divisors, whose sum is σ = 1201892003020800. Its totient is φ = 158122620794880.

The previous prime is 480851070614689. The next prime is 480851070614897. The reversal of 480851070614740 is 47416070158084.

It is a super-3 number, since 3×480851070614740³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 11475316629 + ... + 11475358531.

It is an arithmetic number, because the mean of its divisors is an integer number (6259854182400).

Almost surely, 2^{480851070614740} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480851070614740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600946001510400).

480851070614740 is an abundant number, since it is smaller than the sum of its proper divisors (721040932406060).

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

480851070614740 is a wasteful number, since it uses less digits than its factorization.

480851070614740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65462 (or 65460 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 55.

The spelling of 480851070614740 in words is "four hundred eighty trillion, eight hundred fifty-one billion, seventy million, six hundred fourteen thousand, seven hundred forty".