407011014081 has 64 divisors (see below), whose sum is σ = 742277283840. Its totient is φ = 215289264960.

The previous prime is 407011014013. The next prime is 407011014097. The reversal of 407011014081 is 180410110704.

407011014081 is a `hidden beast` number, since 407 + 0 + 110 + 140 + 8 + 1 = 666.

It is not a de Polignac number, because 407011014081 - 2⁷ = 407011013953 is a prime.

It is a super-2 number, since 2×407011014081² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (407011014281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1375410 + ... + 1644923.

It is an arithmetic number, because the mean of its divisors is an integer number (11598082560).

Almost surely, 2^407011014081 is an apocalyptic number.

It is an amenable number.

407011014081 is a deficient number, since it is larger than the sum of its proper divisors (335266269759).

407011014081 is a wasteful number, since it uses less digits than its factorization.

407011014081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020403 (or 3020397 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

Adding to 407011014081 its reverse (180410110704), we get a palindrome (587421124785).

The spelling of 407011014081 in words is "four hundred seven billion, eleven million, fourteen thousand, eighty-one".