402144420000 has 480 divisors, whose sum is σ = 1381695815808. Its totient is φ = 102187008000.

The previous prime is 402144419917. The next prime is 402144420017. The reversal of 402144420000 is 24441204.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 597539664 + ... + 597540336.

Almost surely, 2^402144420000 is an apocalyptic number.

402144420000 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 402144420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690847907904).

402144420000 is an abundant number, since it is smaller than the sum of its proper divisors (979551395808).

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

402144420000 is a wasteful number, since it uses less digits than its factorization.

402144420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 402144420000 its reverse (24441204), we get a palindrome (402168861204).

The spelling of 402144420000 in words is "four hundred two billion, one hundred forty-four million, four hundred twenty thousand".