481920801120 has 480 divisors, whose sum is σ = 1857414325536. Its totient is φ = 116702208000.

The previous prime is 481920801119. The next prime is 481920801127. The reversal of 481920801120 is 21108029184.

It is a happy number.

481920801120 is a `hidden beast` number, since 481 + 92 + 0 + 80 + 1 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×481920801120³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481920801127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 256749622 + ... + 256751498.

Almost surely, 2^481920801120 is an apocalyptic number.

481920801120 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 481920801120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928707162768).

481920801120 is an abundant number, since it is smaller than the sum of its proper divisors (1375493524416).

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

481920801120 is a wasteful number, since it uses less digits than its factorization.

481920801120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3716 (or 3699 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 481920801120 in words is "four hundred eighty-one billion, nine hundred twenty million, eight hundred one thousand, one hundred twenty".