402441010000 has 200 divisors, whose sum is σ = 990411966720. Its totient is φ = 158338752000.

The previous prime is 402441009983. The next prime is 402441010009. The reversal of 402441010000 is 10144204.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402441010009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 250429197 + ... + 250430803.

Almost surely, 2^402441010000 is an apocalyptic number.

402441010000 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 402441010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495205983360).

402441010000 is an abundant number, since it is smaller than the sum of its proper divisors (587970956720).

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

402441010000 is a wasteful number, since it uses less digits than its factorization.

402441010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2031 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 402441010000 its reverse (10144204), we get a palindrome (402451154204).

The spelling of 402441010000 in words is "four hundred two billion, four hundred forty-one million, ten thousand".