40012414321321 has 8 divisors (see below), whose sum is σ = 43091527053960. Its totient is φ = 36933477975552.

The previous prime is 40012414321283. The next prime is 40012414321349. The reversal of 40012414321321 is 12312341421004.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8745741582400 + 31266672738921 = 2957320^2 + 5591661^2 .

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-40012414321321 is a prime.

It is a super-2 number, since 2×40012414321321² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 40012414321321.

It is not an unprimeable number, because it can be changed into a prime (40012414321361) 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, 43625386 + ... + 44533123.

It is an arithmetic number, because the mean of its divisors is an integer number (5386440881745).

Almost surely, 2^{40012414321321} is an apocalyptic number.

It is an amenable number.

40012414321321 is a deficient number, since it is larger than the sum of its proper divisors (3079112732639).

40012414321321 is a wasteful number, since it uses less digits than its factorization.

40012414321321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88193435.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 40012414321321 its reverse (12312341421004), we get a palindrome (52324755742325).

The spelling of 40012414321321 in words is "forty trillion, twelve billion, four hundred fourteen million, three hundred twenty-one thousand, three hundred twenty-one".