402201201000 has 256 divisors, whose sum is σ = 1278308977920. Its totient is φ = 105262080000.

The previous prime is 402201200981. The next prime is 402201201007. The reversal of 402201201000 is 102102204.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (402201201007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56477440 + ... + 56484560.

It is an arithmetic number, because the mean of its divisors is an integer number (4993394445).

Almost surely, 2^402201201000 is an apocalyptic number.

402201201000 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 402201201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639154488960).

402201201000 is an abundant number, since it is smaller than the sum of its proper divisors (876107776920).

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

402201201000 is a wasteful number, since it uses less digits than its factorization.

402201201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7493 (or 7479 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 402201201000 its reverse (102102204), we get a palindrome (402303303204).

The spelling of 402201201000 in words is "four hundred two billion, two hundred one million, two hundred one thousand".