480141385651200 has 4752 divisors, whose sum is σ = 2168262651308544. Its totient is φ = 92770939699200.

The previous prime is 480141385651199. The next prime is 480141385651217. The reversal of 480141385651200 is 2156583141084.

It is a happy number.

It is a super-2 number, since 2×480141385651200² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 480141385651200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 547481625162 + ... + 547481626038.

Almost surely, 2^{480141385651200} is an apocalyptic number.

480141385651200 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 480141385651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084131325654272).

480141385651200 is an abundant number, since it is smaller than the sum of its proper divisors (1688121265657344).

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

480141385651200 is a wasteful number, since it uses less digits than its factorization.

480141385651200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 480141385651200 in words is "four hundred eighty trillion, one hundred forty-one billion, three hundred eighty-five million, six hundred fifty-one thousand, two hundred".