403142002042000 has 160 divisors (see below), whose sum is σ = 1050965352912384. Its totient is φ = 148684607424000.

The previous prime is 403142002041991. The next prime is 403142002042037. The reversal of 403142002042000 is 240200241304.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14321605 + ... + 31802395.

Almost surely, 2^{403142002042000} is an apocalyptic number.

403142002042000 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 403142002042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525482676456192).

403142002042000 is an abundant number, since it is smaller than the sum of its proper divisors (647823350870384).

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

403142002042000 is a wasteful number, since it uses less digits than its factorization.

403142002042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17481714 (or 17481698 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 403142002042000 its reverse (240200241304), we get a palindrome (403382202283304).

The spelling of 403142002042000 in words is "four hundred three trillion, one hundred forty-two billion, two million, forty-two thousand".