402728011200 has 504 divisors, whose sum is σ = 1487463166800. Its totient is φ = 103220920320.

The previous prime is 402728011193. The next prime is 402728011201. The reversal of 402728011200 is 2110827204.

402728011200 is a `hidden beast` number, since 402 + 72 + 80 + 112 + 0 + 0 = 666.

It is a super-3 number, since 3×402728011200³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402728011201) 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 71 ways as a sum of consecutive naturals, for example, 97298731 + ... + 97302869.

Almost surely, 2^402728011200 is an apocalyptic number.

402728011200 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 402728011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743731583400).

402728011200 is an abundant number, since it is smaller than the sum of its proper divisors (1084735155600).

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

402728011200 is a wasteful number, since it uses less digits than its factorization.

402728011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4429 (or 4411 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Adding to 402728011200 its reverse (2110827204), we get a palindrome (404838838404).

The spelling of 402728011200 in words is "four hundred two billion, seven hundred twenty-eight million, eleven thousand, two hundred".