403105000132000 has 192 divisors, whose sum is σ = 997574647829760. Its totient is φ = 160081040256000.

The previous prime is 403105000131979. The next prime is 403105000132007. The reversal of 403105000132000 is 231000501304.

It is a super-2 number, since 2×403105000132000² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (403105000132007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548060491 + ... + 548795509.

It is an arithmetic number, because the mean of its divisors is an integer number (5195701290780).

Almost surely, 2^{403105000132000} is an apocalyptic number.

403105000132000 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 403105000132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498787323914880).

403105000132000 is an abundant number, since it is smaller than the sum of its proper divisors (594469647697760).

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

403105000132000 is a wasteful number, since it uses less digits than its factorization.

403105000132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736032 (or 736014 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 403105000132000 its reverse (231000501304), we get a palindrome (403336000633304).

The spelling of 403105000132000 in words is "four hundred three trillion, one hundred five billion, one hundred thirty-two thousand".