402421234132000 has 768 divisors, whose sum is σ = 1046715742904832. Its totient is φ = 151898112000000.

The previous prime is 402421234131997. The next prime is 402421234132007. The reversal of 402421234132000 is 231432124204.

It is a self number, because there is not a number n which added to its sum of digits gives 402421234132000.

It is not an unprimeable number, because it can be changed into a prime (402421234132007) 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 127 ways as a sum of consecutive naturals, for example, 200110010995 + ... + 200110013005.

It is an arithmetic number, because the mean of its divisors is an integer number (1362911123574).

Almost surely, 2^{402421234132000} is an apocalyptic number.

402421234132000 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 402421234132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523357871452416).

402421234132000 is an abundant number, since it is smaller than the sum of its proper divisors (644294508772832).

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

402421234132000 is a wasteful number, since it uses less digits than its factorization.

402421234132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 402421234132000 its reverse (231432124204), we get a palindrome (402652666256204).

The spelling of 402421234132000 in words is "four hundred two trillion, four hundred twenty-one billion, two hundred thirty-four million, one hundred thirty-two thousand".