407712661521 has 16 divisors (see below), whose sum is σ = 596313052608. Its totient is φ = 245733393600.

The previous prime is 407712661507. The next prime is 407712661567. The reversal of 407712661521 is 125166217704.

It is not a de Polignac number, because 407712661521 - 2¹⁸ = 407712399377 is a prime.

It is a super-2 number, since 2×407712661521² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (407712661621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34123666 + ... + 34135611.

It is an arithmetic number, because the mean of its divisors is an integer number (37269565788).

Almost surely, 2^407712661521 is an apocalyptic number.

It is an amenable number.

407712661521 is a deficient number, since it is larger than the sum of its proper divisors (188600391087).

407712661521 is a wasteful number, since it uses less digits than its factorization.

407712661521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68259472.

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 407712661521 in words is "four hundred seven billion, seven hundred twelve million, six hundred sixty-one thousand, five hundred twenty-one".