469016126880 has 288 divisors, whose sum is σ = 1744693437312. Its totient is φ = 103744788480.

The previous prime is 469016126879. The next prime is 469016126893. The reversal of 469016126880 is 88621610964.

It is a super-2 number, since 2×469016126880² (a number of 24 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 3156334 + ... + 3301586.

It is an arithmetic number, because the mean of its divisors is an integer number (6057963324).

Almost surely, 2^469016126880 is an apocalyptic number.

469016126880 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 469016126880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872346718656).

469016126880 is an abundant number, since it is smaller than the sum of its proper divisors (1275677310432).

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

469016126880 is a wasteful number, since it uses less digits than its factorization.

469016126880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145340 (or 145301 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 469016126880 in words is "four hundred sixty-nine billion, sixteen million, one hundred twenty-six thousand, eight hundred eighty".