402666393600 has 351 divisors, whose sum is σ = 1444449668259. Its totient is φ = 107215257600.

The previous prime is 402666393587. The next prime is 402666393601. The reversal of 402666393600 is 6393666204.

It is a happy number.

The square root of 402666393600 is 634560.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 11851370496 + 390815023104 = 108864^2 + 625152^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (402666393601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 609177270 + ... + 609177930.

Almost surely, 2^402666393600 is an apocalyptic number.

402666393600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

402666393600 is the 634560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402666393600

402666393600 is an abundant number, since it is smaller than the sum of its proper divisors (1041783274659).

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

402666393600 is an frugal number, since it uses more digits than its factorization.

402666393600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 402666393600 in words is "four hundred two billion, six hundred sixty-six million, three hundred ninety-three thousand, six hundred".