480681265140 has 192 divisors, whose sum is σ = 1524951563520. Its totient is φ = 125667002880.

The previous prime is 480681265123. The next prime is 480681265193. The reversal of 480681265140 is 41562186084.

It is a happy number.

480681265140 is a `hidden beast` number, since 4 + 8 + 0 + 6 + 8 + 126 + 514 + 0 = 666.

It is a super-3 number, since 3×480681265140³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 10088814 + ... + 10136346.

It is an arithmetic number, because the mean of its divisors is an integer number (7942456060).

Almost surely, 2^480681265140 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 480681265140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762475781760).

480681265140 is an abundant number, since it is smaller than the sum of its proper divisors (1044270298380).

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

480681265140 is a wasteful number, since it uses less digits than its factorization.

480681265140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47919 (or 47911 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 480681265140 in words is "four hundred eighty billion, six hundred eighty-one million, two hundred sixty-five thousand, one hundred forty".