488500365542400 has 1320 divisors, whose sum is σ = 1845150052838400. Its totient is φ = 127678207426560.

The previous prime is 488500365542377. The next prime is 488500365542407. The reversal of 488500365542400 is 4245563005884.

488500365542400 is a `hidden beast` number, since 4 + 8 + 8 + 50 + 0 + 3 + 6 + 5 + 542 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (488500365542407) 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, 21857806426 + ... + 21857828774.

It is an arithmetic number, because the mean of its divisors is an integer number (1397840949120).

Almost surely, 2^{488500365542400} is an apocalyptic number.

488500365542400 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 488500365542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922575026419200).

488500365542400 is an abundant number, since it is smaller than the sum of its proper divisors (1356649687296000).

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

488500365542400 is a wasteful number, since it uses less digits than its factorization.

488500365542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22601 (or 22569 counting only the distinct ones).

The product of its (nonzero) digits is 18432000, while the sum is 54.

The spelling of 488500365542400 in words is "four hundred eighty-eight trillion, five hundred billion, three hundred sixty-five million, five hundred forty-two thousand, four hundred".