416625655120 has 80 divisors (see below), whose sum is σ = 983897026560. Its totient is φ = 164031892992.

The previous prime is 416625655099. The next prime is 416625655139. The reversal of 416625655120 is 21556526614.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6825054 + ... + 6885826.

It is an arithmetic number, because the mean of its divisors is an integer number (12298712832).

Almost surely, 2^416625655120 is an apocalyptic number.

416625655120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416625655120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491948513280).

416625655120 is an abundant number, since it is smaller than the sum of its proper divisors (567271371440).

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

416625655120 is a wasteful number, since it uses less digits than its factorization.

416625655120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62132 (or 62126 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 43.

The spelling of 416625655120 in words is "four hundred sixteen billion, six hundred twenty-five million, six hundred fifty-five thousand, one hundred twenty".