403412013312 has 288 divisors, whose sum is σ = 1381781151744. Its totient is φ = 101401804800.

The previous prime is 403412013307. The next prime is 403412013331. The reversal of 403412013312 is 213310214304.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 1723188 + ... + 1943244.

Almost surely, 2^403412013312 is an apocalyptic number.

403412013312 is a gapful number since it is divisible by the number (42) 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 403412013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690890575872).

403412013312 is an abundant number, since it is smaller than the sum of its proper divisors (978369138432).

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

403412013312 is a wasteful number, since it uses less digits than its factorization.

403412013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220125 (or 220111 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 403412013312 its reverse (213310214304), we get a palindrome (616722227616).

The spelling of 403412013312 in words is "four hundred three billion, four hundred twelve million, thirteen thousand, three hundred twelve".