402607172160 has 168 divisors, whose sum is σ = 1385136128376. Its totient is φ = 107335925760.

The previous prime is 402607172159. The next prime is 402607172179. The reversal of 402607172160 is 61271706204.

402607172160 is a `hidden beast` number, since 40 + 2 + 607 + 1 + 7 + 2 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 64134549504 + 338472622656 = 253248^2 + 581784^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13858450 + ... + 13887470.

It is an arithmetic number, because the mean of its divisors is an integer number (8244857907).

Almost surely, 2^402607172160 is an apocalyptic number.

402607172160 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 402607172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692568064188).

402607172160 is an abundant number, since it is smaller than the sum of its proper divisors (982528956216).

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

402607172160 is a wasteful number, since it uses less digits than its factorization.

402607172160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33861 (or 33848 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 402607172160 its reverse (61271706204), we get a palindrome (463878878364).

The spelling of 402607172160 in words is "four hundred two billion, six hundred seven million, one hundred seventy-two thousand, one hundred sixty".