403002241000 has 128 divisors (see below), whose sum is σ = 976705516800. Its totient is φ = 155456851200.

The previous prime is 403002240967. The next prime is 403002241001. The reversal of 403002241000 is 142200304.

It is not an unprimeable number, because it can be changed into a prime (403002241001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25715167 + ... + 25730833.

It is an arithmetic number, because the mean of its divisors is an integer number (7630511850).

Almost surely, 2^403002241000 is an apocalyptic number.

403002241000 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 403002241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488352758400).

403002241000 is an abundant number, since it is smaller than the sum of its proper divisors (573703275800).

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

403002241000 is a wasteful number, since it uses less digits than its factorization.

403002241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16604 (or 16590 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 403002241000 its reverse (142200304), we get a palindrome (403144441304).

The spelling of 403002241000 in words is "four hundred three billion, two million, two hundred forty-one thousand".