402922211328 has 1728 divisors, whose sum is σ = 1598664936960. Its totient is φ = 100329062400.

The previous prime is 402922211323. The next prime is 402922211371. The reversal of 402922211328 is 823112229204.

It is a happy number.

402922211328 is a `hidden beast` number, since 40 + 292 + 2 + 2 + 1 + 1 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a junction number, because it is equal to n+sod(n) for n = 402922211292 and 402922211301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402922211323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9827370988 + ... + 9827371028.

It is an arithmetic number, because the mean of its divisors is an integer number (925153320).

Almost surely, 2^402922211328 is an apocalyptic number.

402922211328 is a gapful number since it is divisible by the number (48) 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 402922211328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799332468480).

402922211328 is an abundant number, since it is smaller than the sum of its proper divisors (1195742725632).

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

402922211328 is a wasteful number, since it uses less digits than its factorization.

402922211328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 402922211328 in words is "four hundred two billion, nine hundred twenty-two million, two hundred eleven thousand, three hundred twenty-eight".