402809920128 has 1152 divisors, whose sum is σ = 1617906700800. Its totient is φ = 93175971840.

The previous prime is 402809920127. The next prime is 402809920153. The reversal of 402809920128 is 821029908204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (402809920127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 487073251 + ... + 487074077.

It is an arithmetic number, because the mean of its divisors is an integer number (1404432900).

Almost surely, 2^402809920128 is an apocalyptic number.

402809920128 is a gapful number since it is divisible by the number (48) 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 402809920128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808953350400).

402809920128 is an abundant number, since it is smaller than the sum of its proper divisors (1215096780672).

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

402809920128 is a wasteful number, since it uses less digits than its factorization.

402809920128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 402809920128 in words is "four hundred two billion, eight hundred nine million, nine hundred twenty thousand, one hundred twenty-eight".