488040840000 has 840 divisors, whose sum is σ = 2103113538240. Its totient is φ = 105670656000.

The previous prime is 488040839999. The next prime is 488040840013. The reversal of 488040840000 is 48040884.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 47874904 + ... + 47885096.

Almost surely, 2^488040840000 is an apocalyptic number.

488040840000 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 488040840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051556769120).

488040840000 is an abundant number, since it is smaller than the sum of its proper divisors (1615072698240).

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

488040840000 is a wasteful number, since it uses less digits than its factorization.

488040840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10257 (or 10229 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

Adding to 488040840000 its reverse (48040884), we get a palindrome (488088880884).

The spelling of 488040840000 in words is "four hundred eighty-eight billion, forty million, eight hundred forty thousand".