481310106043272 has 192 divisors, whose sum is σ = 1400468195448000. Its totient is φ = 137266226380800.

The previous prime is 481310106043253. The next prime is 481310106043303. The reversal of 481310106043272 is 272340601013184.

It is a super-3 number, since 3×481310106043272³ (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1239979479 + ... + 1240367577.

It is an arithmetic number, because the mean of its divisors is an integer number (7294105184625).

Almost surely, 2^{481310106043272} 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 481310106043272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700234097724000).

481310106043272 is an abundant number, since it is smaller than the sum of its proper divisors (919158089404728).

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

481310106043272 is a wasteful number, since it uses less digits than its factorization.

481310106043272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413268 (or 413253 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 481310106043272 in words is "four hundred eighty-one trillion, three hundred ten billion, one hundred six million, forty-three thousand, two hundred seventy-two".