403314422412240 has 240 divisors, whose sum is σ = 1368399500786448. Its totient is φ = 106448652140544.

The previous prime is 403314422412157. The next prime is 403314422412247. The reversal of 403314422412240 is 42214224413304.

403314422412240 is a `hidden beast` number, since 4 + 0 + 3 + 3 + 1 + 4 + 422 + 4 + 1 + 224 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13827777719184 + 389486644693056 = 3718572^2 + 19735416^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 403314422412195 and 403314422412204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403314422412247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27175284 + ... + 39308076.

Almost surely, 2^{403314422412240} is an apocalyptic number.

403314422412240 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 403314422412240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684199750393224).

403314422412240 is an abundant number, since it is smaller than the sum of its proper divisors (965085078374208).

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

403314422412240 is a wasteful number, since it uses less digits than its factorization.

403314422412240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12133286 (or 12133277 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 403314422412240 its reverse (42214224413304), we get a palindrome (445528646825544).

The spelling of 403314422412240 in words is "four hundred three trillion, three hundred fourteen billion, four hundred twenty-two million, four hundred twelve thousand, two hundred forty".