488751045120 has 800 divisors, whose sum is σ = 1967424826752. Its totient is φ = 115062571008.

The previous prime is 488751045103. The next prime is 488751045131. The reversal of 488751045120 is 21540157884.

488751045120 is a `hidden beast` number, since 4 + 8 + 8 + 7 + 510 + 4 + 5 + 120 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 61996699 + ... + 62004581.

Almost surely, 2^488751045120 is an apocalyptic number.

488751045120 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 488751045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983712413376).

488751045120 is an abundant number, since it is smaller than the sum of its proper divisors (1478673781632).

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

488751045120 is a wasteful number, since it uses less digits than its factorization.

488751045120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7954 (or 7929 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 488751045120 in words is "four hundred eighty-eight billion, seven hundred fifty-one million, forty-five thousand, one hundred twenty".