416520407520 has 576 divisors, whose sum is σ = 1698376377600. Its totient is φ = 95061980160.

The previous prime is 416520407483. The next prime is 416520407539. The reversal of 416520407520 is 25704025614.

It is a happy number.

416520407520 is a `hidden beast` number, since 4 + 1 + 6 + 520 + 40 + 75 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 215700955 + ... + 215702885.

It is an arithmetic number, because the mean of its divisors is an integer number (2948570100).

Almost surely, 2^416520407520 is an apocalyptic number.

416520407520 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 416520407520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849188188800).

416520407520 is an abundant number, since it is smaller than the sum of its proper divisors (1281855970080).

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

416520407520 is a wasteful number, since it uses less digits than its factorization.

416520407520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 416520407520 in words is "four hundred sixteen billion, five hundred twenty million, four hundred seven thousand, five hundred twenty".