403412332224 has 112 divisors (see below), whose sum is σ = 1165129065216. Its totient is φ = 122169062400.

The previous prime is 403412332189. The next prime is 403412332243. The reversal of 403412332224 is 422233214304.

It is a super-4 number, since 4×403412332224⁴ (a number of 48 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 403412332191 and 403412332200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3334554 + ... + 3453414.

Almost surely, 2^403412332224 is an apocalyptic number.

403412332224 is a gapful number since it is divisible by the number (44) 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 403412332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582564532608).

403412332224 is an abundant number, since it is smaller than the sum of its proper divisors (761716732992).

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

403412332224 is a wasteful number, since it uses less digits than its factorization.

403412332224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120494 (or 120484 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 403412332224 its reverse (422233214304), we get a palindrome (825645546528).

The spelling of 403412332224 in words is "four hundred three billion, four hundred twelve million, three hundred thirty-two thousand, two hundred twenty-four".