402234168856320 has 216 divisors, whose sum is σ = 1392793766910000. Its totient is φ = 107177244622848.

The previous prime is 402234168856297. The next prime is 402234168856327. The reversal of 402234168856320 is 23658861432204.

402234168856320 is a `hidden beast` number, since 4 + 0 + 2 + 234 + 1 + 6 + 8 + 85 + 6 + 320 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402234168856327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 637056 + ... + 28370304.

It is an arithmetic number, because the mean of its divisors is an integer number (6448119291250).

Almost surely, 2^{402234168856320} is an apocalyptic number.

402234168856320 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 402234168856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696396883455000).

402234168856320 is an abundant number, since it is smaller than the sum of its proper divisors (990559598053680).

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

402234168856320 is a wasteful number, since it uses less digits than its factorization.

402234168856320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27734535 (or 27734518 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 402234168856320 in words is "four hundred two trillion, two hundred thirty-four billion, one hundred sixty-eight million, eight hundred fifty-six thousand, three hundred twenty".