4416013961127 has 24 divisors (see below), whose sum is σ = 6392140521728. Its totient is φ = 2937806010000.

The previous prime is 4416013961119. The next prime is 4416013961173. The reversal of 4416013961127 is 7211693106144.

4416013961127 is a `hidden beast` number, since 4 + 4 + 1 + 6 + 0 + 1 + 3 + 9 + 611 + 27 = 666.

It is not a de Polignac number, because 4416013961127 - 2³ = 4416013961119 is a prime.

It is a super-2 number, since 2×4416013961127² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4416013966127) 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, 8472828 + ... + 8978910.

Almost surely, 2^{4416013961127} is an apocalyptic number.

4416013961127 is a deficient number, since it is larger than the sum of its proper divisors (1976126560601).

4416013961127 is a wasteful number, since it uses less digits than its factorization.

4416013961127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508131 (or 508128 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 4416013961127 in words is "four trillion, four hundred sixteen billion, thirteen million, nine hundred sixty-one thousand, one hundred twenty-seven".