403440412122320 has 80 divisors (see below), whose sum is σ = 940446488288208. Its totient is φ = 160955157749760.

The previous prime is 403440412122277. The next prime is 403440412122329. The reversal of 403440412122320 is 23221214044304.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 24827737769536 + 378612674352784 = 4982744^2 + 19457972^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×403440412122320² (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 (403440412122329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355049480 + ... + 356183960.

Almost surely, 2^{403440412122320} is an apocalyptic number.

403440412122320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

403440412122320 is an abundant number, since it is smaller than the sum of its proper divisors (537006076165888).

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

403440412122320 is a wasteful number, since it uses less digits than its factorization.

403440412122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146088 (or 1146082 counting only the distinct ones).

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

Adding to 403440412122320 its reverse (23221214044304), we get a palindrome (426661626166624).

The spelling of 403440412122320 in words is "four hundred three trillion, four hundred forty billion, four hundred twelve million, one hundred twenty-two thousand, three hundred twenty".