488141330040 has 1536 divisors, whose sum is σ = 2123941478400. Its totient is φ = 98761420800.

The previous prime is 488141330029. The next prime is 488141330057. The reversal of 488141330040 is 40033141884.

488141330040 is a `hidden beast` number, since 488 + 1 + 4 + 133 + 0 + 0 + 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 = 488141329977 and 488141330004.

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 383 ways as a sum of consecutive naturals, for example, 3232723965 + ... + 3232724115.

It is an arithmetic number, because the mean of its divisors is an integer number (1382774400).

Almost surely, 2^488141330040 is an apocalyptic number.

488141330040 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 488141330040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061970739200).

488141330040 is an abundant number, since it is smaller than the sum of its proper divisors (1635800148360).

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

488141330040 is a wasteful number, since it uses less digits than its factorization.

488141330040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 488141330040 in words is "four hundred eighty-eight billion, one hundred forty-one million, three hundred thirty thousand, forty".