481141440000 has 1200 divisors, whose sum is σ = 1905469229664. Its totient is φ = 116121600000.

The previous prime is 481141439971. The next prime is 481141440001. The reversal of 481141440000 is 44141184.

481141440000 is a `hidden beast` number, since 4 + 81 + 141 + 440 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481141440001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2658239910 + ... + 2658240090.

Almost surely, 2^481141440000 is an apocalyptic number.

481141440000 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 481141440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952734614832).

481141440000 is an abundant number, since it is smaller than the sum of its proper divisors (1424327789664).

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

481141440000 is a wasteful number, since it uses less digits than its factorization.

481141440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 481141440000 its reverse (44141184), we get a palindrome (481185581184).

The spelling of 481141440000 in words is "four hundred eighty-one billion, one hundred forty-one million, four hundred forty thousand".