403212242212304 has 160 divisors (see below), whose sum is σ = 898371381623040. Its totient is φ = 171735225532416.

The previous prime is 403212242212301. The next prime is 403212242212309.

403212242212304 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×403212242212304² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403212242212301) 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, 71251497827 + ... + 71251503485.

It is an arithmetic number, because the mean of its divisors is an integer number (5614821135144).

Almost surely, 2^{403212242212304} 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 403212242212304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449185690811520).

403212242212304 is an abundant number, since it is smaller than the sum of its proper divisors (495159139410736).

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

403212242212304 is a wasteful number, since it uses less digits than its factorization.

403212242212304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10637 (or 10631 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The spelling of 403212242212304 in words is "four hundred three trillion, two hundred twelve billion, two hundred forty-two million, two hundred twelve thousand, three hundred four".