416041586120 has 32 divisors (see below), whose sum is σ = 936113613120. Its totient is φ = 166413071040.

The previous prime is 416041586117. The next prime is 416041586123. The reversal of 416041586120 is 21685140614.

It is an interprime number because it is at equal distance from previous prime (416041586117) and next prime (416041586123).

It is not an unprimeable number, because it can be changed into a prime (416041586123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2587685 + ... + 2743755.

It is an arithmetic number, because the mean of its divisors is an integer number (29253550410).

Almost surely, 2^416041586120 is an apocalyptic number.

416041586120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416041586120 is an abundant number, since it is smaller than the sum of its proper divisors (520072027000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

416041586120 is a wasteful number, since it uses less digits than its factorization.

416041586120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222725 (or 222721 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The spelling of 416041586120 in words is "four hundred sixteen billion, forty-one million, five hundred eighty-six thousand, one hundred twenty".