407144625561 has 24 divisors (see below), whose sum is σ = 603959343624. Its totient is φ = 264142391040.

The previous prime is 407144625553. The next prime is 407144625577. The reversal of 407144625561 is 165526441704.

407144625561 is a `hidden beast` number, since 4 + 0 + 7 + 14 + 4 + 625 + 5 + 6 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 112533411600 + 294611213961 = 335460^2 + 542781^2 .

It is not a de Polignac number, because 407144625561 - 2³ = 407144625553 is a prime.

It is a super-2 number, since 2×407144625561² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (407144625661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1243146 + ... + 1536131.

It is an arithmetic number, because the mean of its divisors is an integer number (25164972651).

Almost surely, 2^407144625561 is an apocalyptic number.

407144625561 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

407144625561 is a deficient number, since it is larger than the sum of its proper divisors (196814718063).

407144625561 is a wasteful number, since it uses less digits than its factorization.

407144625561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779721 (or 2779718 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 407144625561 in words is "four hundred seven billion, one hundred forty-four million, six hundred twenty-five thousand, five hundred sixty-one".