4416477112125 has 64 divisors (see below), whose sum is σ = 8793696737280. Its totient is φ = 2174265633600.

The previous prime is 4416477112121. The next prime is 4416477112129. The reversal of 4416477112125 is 5212117746144.

It is a happy number.

4416477112125 is a `hidden beast` number, since 4 + 41 + 6 + 477 + 1 + 12 + 125 = 666.

It is an interprime number because it is at equal distance from previous prime (4416477112121) and next prime (4416477112129).

It is not a de Polignac number, because 4416477112125 - 2² = 4416477112121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4416477112121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50286349 + ... + 50374098.

It is an arithmetic number, because the mean of its divisors is an integer number (137401511520).

Almost surely, 2^{4416477112125} is an apocalyptic number.

4416477112125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4416477112125 is a deficient number, since it is larger than the sum of its proper divisors (4377219625155).

4416477112125 is a wasteful number, since it uses less digits than its factorization.

4416477112125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100660484 (or 100660468 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The spelling of 4416477112125 in words is "four trillion, four hundred sixteen billion, four hundred seventy-seven million, one hundred twelve thousand, one hundred twenty-five".