488042966473920 has 2016 divisors, whose sum is σ = 2158503471371520. Its totient is φ = 103463539384320.

The previous prime is 488042966473919. The next prime is 488042966474017. The reversal of 488042966473920 is 29374669240884.

488042966473920 is a `hidden beast` number, since 4 + 8 + 8 + 0 + 4 + 2 + 9 + 66 + 473 + 92 + 0 = 666.

It is a super-2 number, since 2×488042966473920² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4014143691 + ... + 4014265269.

It is an arithmetic number, because the mean of its divisors is an integer number (1070686245720).

Almost surely, 2^{488042966473920} is an apocalyptic number.

488042966473920 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 488042966473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079251735685760).

488042966473920 is an abundant number, since it is smaller than the sum of its proper divisors (1670460504897600).

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

488042966473920 is a wasteful number, since it uses less digits than its factorization.

488042966473920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121673 (or 121632 counting only the distinct ones).

The product of its (nonzero) digits is 1003290624, while the sum is 72.

The spelling of 488042966473920 in words is "four hundred eighty-eight trillion, forty-two billion, nine hundred sixty-six million, four hundred seventy-three thousand, nine hundred twenty".