481514801040 has 1280 divisors, whose sum is σ = 2110364928000. Its totient is φ = 98205696000.

The previous prime is 481514801021. The next prime is 481514801041. The reversal of 481514801040 is 40108415184.

481514801040 is a `hidden beast` number, since 4 + 81 + 51 + 480 + 10 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 481514800986 and 481514801004.

It is not an unprimeable number, because it can be changed into a prime (481514801041) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1200784840 + ... + 1200785240.

It is an arithmetic number, because the mean of its divisors is an integer number (1648722600).

Almost surely, 2^481514801040 is an apocalyptic number.

481514801040 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 481514801040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055182464000).

481514801040 is an abundant number, since it is smaller than the sum of its proper divisors (1628850126960).

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

481514801040 is a wasteful number, since it uses less digits than its factorization.

481514801040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 481514801040 in words is "four hundred eighty-one billion, five hundred fourteen million, eight hundred one thousand, forty".