488055335040 has 1536 divisors, whose sum is σ = 2191831488000. Its totient is φ = 101722521600.

The previous prime is 488055335021. The next prime is 488055335041. The reversal of 488055335040 is 40533550884.

488055335040 is a `hidden beast` number, since 4 + 8 + 8 + 0 + 553 + 3 + 50 + 40 = 666.

It is a super-2 number, since 2×488055335040² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (488055335041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1111743141 + ... + 1111743579.

It is an arithmetic number, because the mean of its divisors is an integer number (1426973625).

Almost surely, 2^488055335040 is an apocalyptic number.

488055335040 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 488055335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095915744000).

488055335040 is an abundant number, since it is smaller than the sum of its proper divisors (1703776152960).

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

488055335040 is a wasteful number, since it uses less digits than its factorization.

488055335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 488055335040 in words is "four hundred eighty-eight billion, fifty-five million, three hundred thirty-five thousand, forty".