413400312221 has 8 divisors (see below), whose sum is σ = 445421088504. Its totient is φ = 381411072000.

The previous prime is 413400312203. The next prime is 413400312251. The reversal of 413400312221 is 122213004314.

It can be written as a sum of positive squares in 4 ways, for example, as 1858816996 + 411541495225 = 43114^2 + 641515^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-413400312221 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413400312251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7856780 + ... + 7909221.

It is an arithmetic number, because the mean of its divisors is an integer number (55677636063).

Almost surely, 2^413400312221 is an apocalyptic number.

It is an amenable number.

413400312221 is a deficient number, since it is larger than the sum of its proper divisors (32020776283).

413400312221 is a wasteful number, since it uses less digits than its factorization.

413400312221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15768031.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 413400312221 its reverse (122213004314), we get a palindrome (535613316535).

The spelling of 413400312221 in words is "four hundred thirteen billion, four hundred million, three hundred twelve thousand, two hundred twenty-one".