402212412234300 has 144 divisors (see below), whose sum is σ = 1214458599174912. Its totient is φ = 102582592780800.

The previous prime is 402212412234233. The next prime is 402212412234307. The reversal of 402212412234300 is 3432214212204.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402212412234307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63110160 + ... + 69190440.

It is an arithmetic number, because the mean of its divisors is an integer number (8433740272048).

Almost surely, 2^{402212412234300} 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 402212412234300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607229299587456).

402212412234300 is an abundant number, since it is smaller than the sum of its proper divisors (812246186940612).

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

402212412234300 is a wasteful number, since it uses less digits than its factorization.

402212412234300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6089908 (or 6089901 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 402212412234300 its reverse (3432214212204), we get a palindrome (405644626446504).

The spelling of 402212412234300 in words is "four hundred two trillion, two hundred twelve billion, four hundred twelve million, two hundred thirty-four thousand, three hundred".