481429653120 has 768 divisors, whose sum is σ = 1910761332480. Its totient is φ = 110645084160.

The previous prime is 481429653119. The next prime is 481429653149. The reversal of 481429653120 is 21356924184.

481429653120 is a `hidden beast` number, since 4 + 8 + 1 + 4 + 2 + 96 + 531 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 166756317 + ... + 166759203.

It is an arithmetic number, because the mean of its divisors is an integer number (2487970485).

Almost surely, 2^481429653120 is an apocalyptic number.

481429653120 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 481429653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955380666240).

481429653120 is an abundant number, since it is smaller than the sum of its proper divisors (1429331679360).

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

481429653120 is a wasteful number, since it uses less digits than its factorization.

481429653120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3073 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 481429653120 in words is "four hundred eighty-one billion, four hundred twenty-nine million, six hundred fifty-three thousand, one hundred twenty".