403413030020 has 288 divisors, whose sum is σ = 1160484796800. Its totient is φ = 115794524160.

The previous prime is 403413029983. The next prime is 403413030037. The reversal of 403413030020 is 20030314304.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 403413029974 and 403413030001.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 64040831 + ... + 64047129.

It is an arithmetic number, because the mean of its divisors is an integer number (4029461100).

Almost surely, 2^403413030020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403413030020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580242398400).

403413030020 is an abundant number, since it is smaller than the sum of its proper divisors (757071766780).

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

403413030020 is a wasteful number, since it uses less digits than its factorization.

403413030020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6803 (or 6794 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 403413030020 its reverse (20030314304), we get a palindrome (423443344324).

The spelling of 403413030020 in words is "four hundred three billion, four hundred thirteen million, thirty thousand, twenty".