4071081410407 has 32 divisors (see below), whose sum is σ = 4696534425600. Its totient is φ = 3489994965600.

The previous prime is 4071081410387. The next prime is 4071081410423. The reversal of 4071081410407 is 7040141801704.

It is a de Polignac number, because none of the positive numbers 2^k-4071081410407 is a prime.

It is a super-4 number, since 4×4071081410407⁴ (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4071081410477) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431299594 + ... + 431309032.

It is an arithmetic number, because the mean of its divisors is an integer number (146766700800).

Almost surely, 2^{4071081410407} is an apocalyptic number.

4071081410407 is a deficient number, since it is larger than the sum of its proper divisors (625453015193).

4071081410407 is a wasteful number, since it uses less digits than its factorization.

4071081410407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18787.

The product of its (nonzero) digits is 25088, while the sum is 37.

The spelling of 4071081410407 in words is "four trillion, seventy-one billion, eighty-one million, four hundred ten thousand, four hundred seven".