40007414561221 has 8 divisors (see below), whose sum is σ = 42126880112000. Its totient is φ = 37889330225760.

The previous prime is 40007414561167. The next prime is 40007414561239. The reversal of 40007414561221 is 12216541470004.

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

It is not a de Polignac number, because 40007414561221 - 2¹⁷ = 40007414430149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40007414541221) 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, 345244365 + ... + 345360226.

It is an arithmetic number, because the mean of its divisors is an integer number (5265860014000).

Almost surely, 2^{40007414561221} is an apocalyptic number.

It is an amenable number.

40007414561221 is a deficient number, since it is larger than the sum of its proper divisors (2119465550779).

40007414561221 is a wasteful number, since it uses less digits than its factorization.

40007414561221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690607659.

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 40007414561221 in words is "forty trillion, seven billion, four hundred fourteen million, five hundred sixty-one thousand, two hundred twenty-one".