488800420416 has 1260 divisors, whose sum is σ = 1889439691776. Its totient is φ = 120484869120.

The previous prime is 488800420411. The next prime is 488800420441. The reversal of 488800420416 is 614024008884.

It is a super-2 number, since 2×488800420416² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (488800420411) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3848822145 + ... + 3848822271.

Almost surely, 2^488800420416 is an apocalyptic number.

488800420416 is a gapful number since it is divisible by the number (46) 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 488800420416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944719845888).

488800420416 is an abundant number, since it is smaller than the sum of its proper divisors (1400639271360).

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

488800420416 is a wasteful number, since it uses less digits than its factorization.

488800420416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 488800420416 in words is "four hundred eighty-eight billion, eight hundred million, four hundred twenty thousand, four hundred sixteen".