402928160544 has 288 divisors, whose sum is σ = 1410978441600. Its totient is φ = 106211782656.

The previous prime is 402928160477. The next prime is 402928160599. The reversal of 402928160544 is 445061829204.

It is a happy number.

402928160544 is a `hidden beast` number, since 4 + 0 + 2 + 92 + 8 + 16 + 0 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×402928160544² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 402928160544.

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 47 ways as a sum of consecutive naturals, for example, 86667532 + ... + 86672180.

It is an arithmetic number, because the mean of its divisors is an integer number (4899230700).

Almost surely, 2^402928160544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402928160544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705489220800).

402928160544 is an abundant number, since it is smaller than the sum of its proper divisors (1008050281056).

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

402928160544 is a wasteful number, since it uses less digits than its factorization.

402928160544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7992 (or 7981 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

Adding to 402928160544 its reverse (445061829204), we get a palindrome (847989989748).

The spelling of 402928160544 in words is "four hundred two billion, nine hundred twenty-eight million, one hundred sixty thousand, five hundred forty-four".