402066165989376 has 1600 divisors, whose sum is σ = 1468878771456000. Its totient is φ = 106194140135424.

The previous prime is 402066165989357. The next prime is 402066165989381. The reversal of 402066165989376 is 673989561660204.

402066165989376 is a `hidden beast` number, since 4 + 0 + 2 + 0 + 6 + 6 + 165 + 98 + 9 + 376 = 666.

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 63 ways as a sum of consecutive naturals, for example, 2698430644150 + ... + 2698430644298.

It is an arithmetic number, because the mean of its divisors is an integer number (918049232160).

It is a 1-persistent number, because it is pandigital, but 2⋅402066165989376 = 804132331978752 is not.

Almost surely, 2^{402066165989376} is an apocalyptic number.

402066165989376 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 402066165989376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734439385728000).

402066165989376 is an abundant number, since it is smaller than the sum of its proper divisors (1066812605466624).

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

402066165989376 is an frugal number, since it uses more digits than its factorization.

402066165989376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 402066165989376 in words is "four hundred two trillion, sixty-six billion, one hundred sixty-five million, nine hundred eighty-nine thousand, three hundred seventy-six".