407879001953321 has 2 divisors, whose sum is σ = 407879001953322. Its totient is φ = 407879001953320.

The previous prime is 407879001953219. The next prime is 407879001953341. The reversal of 407879001953321 is 123359100978704.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 222646357552921 + 185232644400400 = 14921339^2 + 13610020^2 .

It is a cyclic number.

It is not a de Polignac number, because 407879001953321 - 2²⁶ = 407878934844457 is a prime.

It is a super-2 number, since 2×407879001953321² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (407879001953341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203939500976660 + 203939500976661.

It is an arithmetic number, because the mean of its divisors is an integer number (203939500976661).

Almost surely, 2^{407879001953321} is an apocalyptic number.

It is an amenable number.

407879001953321 is a deficient number, since it is larger than the sum of its proper divisors (1).

407879001953321 is an equidigital number, since it uses as much as digits as its factorization.

407879001953321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11430720, while the sum is 59.

The spelling of 407879001953321 in words is "four hundred seven trillion, eight hundred seventy-nine billion, one million, nine hundred fifty-three thousand, three hundred twenty-one".